1. Tight approximation for rationally simply connected varieties
   2025/03/13 by Olivier Benoist, Benoist, Olivier, Olivier Wittenberg +1 · 3 citations
   Mathematics · #Algebraic Geometry and Number Theory #Algebraic number #Algebraic variety #Geometry and complex manifolds #Holomorphic function #Hypersurface #Property (philosophy) #Simply connected space #Tensor decomposition and applications #Variety (cybernetics)
2. An iterative construction of complete Kähler--Einstein metrics
   2024/10/16 by Quang-Tuan Dang, Dang, Quang-Tuan, Tat Dat Tô +1 · 1 citation
   Mathematics · Physics and Astronomy · #32Q15 #32U15 #32W20 #Advanced Differential Geometry Research #Bounded function #Complex Variables (math.CV) #Curvature #Differential Geometry (math.DG) #Einstein #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic function #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Pure mathematics #Scalar curvature #Surjective function
3. Stein spaces and Stein algebras
   2024/10/07 by Olivier Benoist, Benoist, Olivier · 2 citations
   Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Complex manifold #Holomorphic function #Mathematics #Morphism #Pure mathematics #Stein manifold
4. The abundance and SYZ conjectures in families of hyperkahler manifolds
   2024/09/13 by Andrey Soldatenkov, Misha Verbitsky · 3 citations
   Mathematics · #Algebraic Geometry and Number Theory #Complex manifold #Conjecture #Deformation (meteorology) #Deformation theory #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic function #Line bundle #Manifold (fluid mechanics) #Space (punctuation) #math.AG #math.DG #msc:14J42 #msc:53C26
5. On Symplectic Packing Problems in Higher Dimensions
   2023/12/20 by Kyler Siegel, Yuan Yao, Siegel, Kyler +1 · 1 citation
   Mathematics · #53D05 #57R17 #Algebraic Geometry and Number Theory #Ball (mathematics) #Combinatorics #Computer science #Conjecture #Dimension (graph theory) #Embedding #FOS: Mathematics #Genus #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Holomorphic function #Mathematical analysis #Mathematics #Moment map #Physics #Pure mathematics #Sigma #Symplectic Geometry (math.SG) #Symplectic geometry #Symplectic manifold #Symplectic matrix #Symplectic representation #Symplectomorphism
6. Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties
   2023/06/26 by Nathan Chen, Chen, Nathan, Benjamin Church +3 · 1 citation
   Mathematics · #14D06 #14J10 (Primary) #14K05 (Secondary) #Abelian group #Abelian variety #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Conjecture #FOS: Mathematics #Fano plane #Geometry and complex manifolds #Holomorphic function #Kodaira dimension #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Morphism #Pointwise #Projective variety #Pure mathematics #Quadric #Quotient #Type (biology) #Variety (cybernetics)
7. On the cone conjecture for Enriques manifolds
   2023/03/13 by Gianluca Pacienza, Alessandra Sarti, A. Sarti +2 · 1 citation
   Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Cone (formal languages) #Conjecture #Cover (algebra) #Covering space #Degree (music) #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic function #Mathematics #Physics #Prime (order theory) #Pure mathematics #Symplectic geometry #math.AG
8. Gaussian holomorphic sections on noncompact complex manifolds
   2023/02/16 by Alexander Drewitz, Bingxiao Liu, Drewitz, Alexander +3 · 3 citations
   Mathematics · #32A60 #32U40 #53D50 #60B12 #60D05 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Gaussian #Geometry and complex manifolds #Hermitian matrix #Holomorphic function #Line bundle #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Physics #Probability (math.PR) #Pure mathematics #Quantum #Quantum mechanics #Section (typography) #Semiclassical physics
9. Recent developments on Oka manifolds
   2023/01/27 by Franc Forstnerič · 7 citations
   Mathematics · #Algebra over a field #Complex manifold #Degenerate energy levels #Euclidean geometry #Fiber #Fiber bundle #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Holomorphic and Operator Theory #Holomorphic function #Homotopy #Mathematics #Projective test #Pure mathematics #Stein manifold
10. Non-hyperbolicity of holomorphic symplectic varieties
    2022/12/21 by Ljudmila Kamenova, Christian Lehn · 6 citations
    Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Conjecture #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic function #Mathematics #Pure mathematics #Symplectic geometry #Symplectic manifold #Symplectomorphism #Variety (cybernetics) #math.AG #math.CV #math.DG #msc:14B07 #msc:14J10 #msc:32Q45 #msc:32S45 #msc:53C26
11. On algebraically coisotropic submanifolds of holomorphic symplectic manifolds
    2022/05/16 by Ekaterina Amerik, Frédéric Campana · 1 citation
    Mathematics · #Abelian group #Abelian variety #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Holomorphic function #Hypersurface #Lagrangian #Manifold (fluid mechanics) #Mathematics #Meromorphic and Entire Functions #Projective variety #Pure mathematics #Symplectic geometry #Symplectic manifold #Variety (cybernetics) #math.AG #math.CV #msc:14J42 #msc:14K12
12. Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature
    2022/01/31 by Haojie Chen, Chen, Haojie, Xiaolan Nie +1 · 1 citation
    Mathematics · #Connection (principal bundle) #Constant (computer programming) #Constant curvature #Curvature #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Hermitian matrix #Holomorphic function #Mathematical analysis #Mathematics #Pointwise #Pure mathematics #Scalar curvature #Sectional curvature #Surface (topology) #math.DG
13. The Weak Gravity Conjecture and BPS Particles
    2021/08/18 by Murad Alim, Ben Heidenreich, Tom Rudelius · 5 citations
    Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Calabi–Yau manifold #Cone (formal languages) #Conjecture #Geometry #Geometry and complex manifolds #Holomorphic function #Lattice (music) #Mathematics #Physics #Point (geometry) #Pure mathematics #Theoretical physics #Tower #hep-th
14. Numerical Calabi-Yau metrics from holomorphic networks
    2020/12/09 by Michael R. Douglas, Douglas, Michael R., Subramanian Lakshminarasimhan +3 · 6 citations
    Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Calabi–Yau manifold #Complex Variables (math.CV) #Computational Physics (physics.comp-ph) #Computer science #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Holomorphic function #Mathematics #Physics #Pure mathematics #Quantum mechanics #Symmetry (geometry) #Theoretical physics #Work (physics) #hep-th #math.CV #physics.comp-ph
15. A Convergent Star Product on the Poincaré Disc
    2018/03/07 by Daniela Kraus, Oliver Roth, Matthias Schötz +1 · 2 citations
    Mathematics · #Advanced Topics in Algebra #Combinatorics #Geometry #Holomorphic and Operator Theory #Holomorphic function #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Product (mathematics) #Pure mathematics #Star (game theory) #Star product #Topology (electrical circuits) #Type (biology) #math.CV #math.FA #math.OA #math.QA #msc:32Q05 #msc:32Q15 #msc:46K10 #msc:46L65
16. Identities between modular graph forms
    2018/01/02 by Eric D'Hoker, Eric D’Hoker, Michael Green +1 · 3 citations
    Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic graph theory #Black Holes and Theoretical Physics #Computer science #Discrete mathematics #Eisenstein series #Graph #Hecke operator #Holomorphic function #Line graph #Mathematics #Modular curve #Modular design #Modular form #Modular invariance #Particle physics theoretical and experimental studies #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Voltage graph
17. On real bisectional curvature for Hermitian manifolds
    2017/11/08 by Xiaokui Yang, Fangyang Zheng · 3 citations
    Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory #Curvature #Mathematics #Sectional curvature #Holomorphic function #Pure mathematics #Hermitian manifold #Hermitian matrix #Canonical bundle #Metric (unit) #Line bundle #Mathematical analysis #Topology (electrical circuits) #Scalar curvature #Geometry #Combinatorics
18. Galois structure of the holomorphic differentials of curves
    2017/07/31 by Frauke M. Bleher, Ted Chinburg, Aristides Kontogeorgis · 3 citations
    Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #Holomorphic function #Mathematics #Polynomial and algebraic computation #Pure mathematics #math.AG #msc:11G20 #msc:14G17 #msc:14H05 #msc:20C20
19. Remarks on the operator-norm convergence of the Trotter product formula
    2017/03/28 by Hagen Neidhardt, Neidhardt, Hagen, Artur Stephan +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #26A42 #34G10 #47A55 #47D06 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Banach space #Bounded function #Bounded operator #Classical Analysis and ODEs (math.CA) #Compact operator #Computer science #Contraction (grammar) #Discrete mathematics #FOS: Mathematics #FOS: Physical sciences #Finite-rank operator #Functional Analysis (math.FA) #Holomorphic function #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Norm (philosophy) #Numerical methods in inverse problems #Operator (biology) #Operator norm #Pure mathematics #Semigroup #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.CA #math.FA #math.MP #msc:26A42 #msc:34G10 #msc:47A55 #msc:47D06
20. Potentials and Chern forms for Weil–Petersson and Takhtajan–Zograf metrics on moduli spaces
    2016/10/13 by Jinsung Park, Leon A. Takhtajan, Lee-Peng Teo · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Hermitian matrix #Holomorphic function #Line bundle #Mathematical analysis #Mathematics #Moduli #Moduli space #Omega #Physics #Pure mathematics #Quantum mechanics #Riemann surface #Space (punctuation)
21. Isometric disks are holomorphic
    2016/10/05 by Stergios M. Antonakoudis · 2 citations
    Engineering · Mathematics · #Bounded function #Engineering #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Holomorphic function #Isometric exercise #Isometry (Riemannian geometry) #Mathematical analysis #Mathematics #Metric (unit) #Pure mathematics #Regular polygon #Riemann surface #Teichmüller space #Unit disk
22. Holomorphic Legendrian curves
    2016/07/31 by Antonio Alarcon, Antonio Alarcón, Franc Forstneric +3 · 5 citations
    Mathematics · #Analytic and geometric function theory #Analyticity of holomorphic functions #Complex manifold #Holomorphic and Operator Theory #Holomorphic function #Identity theorem #Meromorphic and Entire Functions #Metric (unit) #Riemann surface #math.CV #math.DG
23. Categorical proof of Holomorphic Atiyah-Bott formula
    2016/07/31 by Grigory Kondyrev, Artem Prikhodko · 1 citation
    Mathematics · #2-category #Algebra over a field #Algebraic and Geometric Analysis #Algebraic number #Analytic and geometric function theory #Categorical variable #Formalism (music) #Holomorphic and Operator Theory #Holomorphic function #Identity theorem #Morphism #math.AG #math.CT
24. Discontinuity of Straightening in Anti-holomorphic Dynamics: I
    2016/05/31 by Hiroyuki Inou, Sabyasachi Mukherjee · 3 citations
    Mathematics · Physics and Astronomy · #Conjecture #Discontinuity (linguistics) #Holomorphic and Operator Theory #Holomorphic function #Mandelbrot set #Mathematical Dynamics and Fractals #Quadratic equation #Quantum chaos and dynamical systems #Social connectedness #math.CV #math.DS #msc:30D05 #msc:37F10 #msc:37F25 #msc:37F44
25. Noncommutative reproducing kernel Hilbert spaces
    2016/02/02 by Joseph A. Ball, Ball, Joseph A., Gregory Marx +3 · 8 citations
    Computer Science · Mathematics · #Algebra over a field #Artificial intelligence #Banach space #Computer science #Finite-rank operator #Free probability #Functional calculus #Generalization #Hilbert space #Holomorphic and Operator Theory #Holomorphic function #Holomorphic functional calculus #Kernel (algebra) #Kernel embedding of distributions #Kernel method #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix Theory and Algorithms #Noncommutative geometry #Pure mathematics #Representer theorem #Reproducing kernel Hilbert space #math.FA #math.OA #msc:47A60 #msc:47B32
26. Singularities of discrete open mappings with controlled p-module
    2015/09/01 by Anatoly Golberg, Руслан Салімов, Ruslan Salimov +1 · 1 citation
    Mathematics · #Analytic and geometric function theory #Combinatorics #Discrete mathematics #Function (biology) #Gravitational singularity #Holomorphic and Operator Theory #Holomorphic function #Integrally closed #Interval (graph theory) #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Perturbation (astronomy) #Physics #Pure mathematics
27. Congruence classes of points in quaternionic hyperbolic space
    2015/05/31 by Wensheng Cao · 1 citation
    Mathematics · #Algebraic and Geometric Analysis #Algebraic geometry #Congruence (geometry) #Differential geometry #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Holomorphic function #Hyperbolic 3-manifold #Hyperbolic geometry #Hyperbolic manifold #Hyperbolic space #Relatively hyperbolic group #math.AG #math.DG #msc:32M15 #msc:53C17 #msc:57M50
28. Height pairings on orthogonal Shimura varieties
    2015/04/30 by Fabrizio Andreatta, Eyal Z. Goren, Benjamin Howard +1 · 5 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Combinatorics #Complex multiplication #Conjecture #Cusp (singularity) #Cusp form #Eisenstein series #Elliptic curve #Geometry #Holomorphic function #Mathematics #Modular form #Orthogonal group #Pure mathematics #Rank (graph theory) #Shimura variety #Signature (topology) #Spinor #Symmetric space #Variety (cybernetics) #math.NT
29. Shintani lifts and fractional derivatives for harmonic weak Maass forms
    2014/02/05 by Kathrin Bringmann, Pavel Guerzhoy, Ben Kane · 3 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Cusp (singularity) #Geometry #Harmonic #Holomorphic function #Mathematics #Modular form #Pure mathematics
30. Kobayashi pseudometric on hyperkahler manifolds
    2013/08/31 by Ljudmila Kamenova, Steven Lu, Misha Verbitsky · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Complex manifold #Conjecture #Curvature #Fibration #Geometry #Geometry and complex manifolds #Hermitian manifold #Holomorphic function #Hyperkähler manifold #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Scalar curvature #math.AG #math.DG

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