- Mechanisms of Projective Composition of Diffusion Models
2025/02/06 by Arwen Bradley, Bradley, Arwen, Preetum Nakkiran +7 · 1 voice · 5 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Composition (language) #Diffusion #Linguistics #Mathematics #Philosophy #Physics #Projective test #Pure mathematics #Statistical physics #Thermodynamics
- Projective dimension and regularity of 3-path ideals of unicyclic graphs
2024/02/25 by Nguyễn Thu Hằng, Hang, Nguyen Thu, Thanh Vu +1 · 1 citation
Mathematics · #13D02 #Combinatorics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Computer science #Dimension (graph theory) #Discrete mathematics #FOS: Mathematics #Mathematics #Path (computing) #Programming language #Projective test #Pure mathematics #Rings, Modules, and Algebras
- Low degree motivic Donaldson-Thomas invariants of the three-dimensional projective space
2023/12/15 by Anna M. Viergever, Viergever, Anna M. · 1 citation
Mathematics · #14F42 #14N35 #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cohomology #Combinatorics #Computer science #Conjecture #De Rham cohomology #Degree (music) #Equivariant cohomology #FOS: Mathematics #Mathematics #Motivic cohomology #Physics #Projective space #Projective test #Pure mathematics #Space (punctuation) #Tilde
- A new class of distances on complex projective spaces
2023/12/05 by Rafał Bistroń, Bistroń, Rafał, Michał Eckstein +7 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Benford’s Law and Fraud Detection #Class (philosophy) #Combinatorics #Complex projective space #Computer science #Differential geometry #Discrete mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry #Mathematical Physics (math-ph) #Mathematics #Perspective (graphical) #Physics #Point (geometry) #Projective geometry #Projective space #Projective test #Pure mathematics #Quantum #Quantum Physics (quant-ph) #Quantum mechanics #Simplex #Space (punctuation)
- Real-projective-plane hybrid-order topological insulator realized in phononic crystals
2023/11/28 by Pengtao Lai, Lai, Pengtao, Jien Wu +17 · 5 citations
Engineering · Mathematics · Physics and Astronomy · #Brillouin zone #Combinatorics #Complex projective space #Condensed matter physics #FOS: Physical sciences #Geometry #Geophysics and Sensor Technology #Homogeneous space #Mathematics #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optics #Physics #Projective plane #Projective space #Projective test #Pure mathematics #Real projective plane #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #Torus
- A construction of the polylogarithm motive
2023/05/01 by Clément Dupont, Javier Fresán · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Cohomology #Combinatorics #Complement (music) #Computer science #Hodge structure #Hyperplane #Hypersurface #Lift (data mining) #Mathematics #Physics #Projective space #Projective test #Pure mathematics #Space (punctuation) #Variation (astronomy) #math.AG #math.KT #math.NT
- Ng\o support theorem and polarizability of quasi-projective commutative group schemes
2023/04/16 by Giuseppe Ancona, Dragos Fratila, Dragoş Frăţilă · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Commutative property #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Polarizability #Projective test #Pure mathematics #Quantum mechanics #math.AG
- Fixed-domain curve counts for blow-ups of projective space
2023/03/06 by Alessio Cela, Cela, Alessio, Carl Lian +1 · 6 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cohomology #Combinatorics #Commutative Algebra and Its Applications #Complex projective space #Computer science #Discrete mathematics #Domain (mathematical analysis) #FOS: Mathematics #Fano plane #Genus #Mathematical analysis #Mathematics #Projective space #Projective test #Pure mathematics #Space (punctuation)
- Gromov-Witten and Welschinger invariants of del Pezzo varieties
2023/02/18 by Thi-Ngoc-Anh Nguyen, Nguyen, Thi-Ngoc-Anh · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Biology #Botany #Commutative Algebra and Its Applications #Computer science #Dimension (graph theory) #Genus #Mathematics #Projective space #Projective test #Pure mathematics #Space (punctuation) #math.AG
- 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
- On the minimal model program for projective varieties with pseudo-effective tangent sheaf
2022/11/16 by Shin-ichi Matsumura, Shinichi Matsumura · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Fano plane #Geometry #Mathematics #Nonlinear Waves and Solitons #Projective test #Pure mathematics #Sheaf #Tangent #math.AG #math.CV #math.DG #msc:14E30 #msc:32J25 #msc:53C25
- Birational involutions of the real projective plane
2022/07/30 by Ivan Cheltsov, Cheltsov, Ivan, Mangolte, Frédéric +4 · 2 citations
Mathematics · Physics and Astronomy · #14E05 #14E07 #14E30 #14J45 #14P99 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Artificial intelligence #Class (philosophy) #Combinatorics #Complex projective space #Computer science #Conjugacy class #FOS: Mathematics #Geometry #Involution (esoterism) #Mathematics #Pencil (optics) #Physics #Plane (geometry) #Plane curve #Projective plane #Projective space #Projective test #Pure mathematics #Real projective plane
- \mathbbmGa-ACTIONS ON THE COMPLEMENTS OF HYPERSURFACES
2020/07/04 by JIHUN PARK, Jihun Park · 1 citation
Mathematics · #Advanced Algebra and Geometry #Affine transformation #Algebraic Geometry and Number Theory #Automorphism #Automorphism group #Combinatorics #Gravitational singularity #Hypersurface #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Projective space #Projective test #Pure mathematics #Unipotent #Variety (cybernetics)
- Isoperimetry and volume preserving stability in real projective spaces
2019/07/22 by Celso Viana, Viana, Celso · 3 citations
Mathematics · #Antipodal point #Combinatorics #Conjecture #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Invariant (physics) #Isoperimetric inequality #Linear subspace #Mathematical physics #Mathematics #Nonlinear Partial Differential Equations #Physics #Projective space #Projective test #Pure mathematics #Volume (thermodynamics)
- Slope inequalities and a Miyaoka-Yau type inequality
2019/03/11 by Yi Gu, Gu, Yi, Xiaotao Sun +3 · 1 citation
Mathematics · #14D05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics #FOS: Mathematics #Field (mathematics) #Genus #Geology #Geometric and Algebraic Topology #Geometry and complex manifolds #Inequality #Mathematical analysis #Mathematics #Morphism #Projective test #Pure mathematics #Type (biology) #math.AG #msc:14D05
- Analytic sphere eversion using ruled surfaces
2017/11/30 by Adam Bednorz, Witold Bednorz · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Geometric Analysis and Curvature Flows #Mathematics and Applications #Process (computing) #Projective test #Ruled surface #Simple (philosophy) #Surface (topology) #math-ph #math.AG #math.AT #math.GT #math.MP #msc:57R42
- Energy integrals and small points for the Arakelov height
2017/08/16 by Paul Fili, Clayton Petsche, Igor E. Pritsker +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Chordal graph #Combinatorics #Geometry #Line (geometry) #Mathematical optimization #Mathematics #Metric (unit) #Minification #Projective line #Projective space #Projective test #Pure mathematics #advanced mathematical theories
- Weighted digraphs and tropical cones
2015/03/31 by Michael Joswig, Georg Loho · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Class (philosophy) #Coding theory and cryptography #Combinatorics #Computer science #Conjecture #Discrete mathematics #Hyperplane #Mathematics #Polyhedron #Polynomial and algebraic computation #Projective space #Projective test #Pure mathematics #Regular polygon #Space (punctuation) #Tropical geometry #math.CO #msc:05C20 #msc:14T05 #msc:52B12
- Two generalizations of projective modules and their applications
2014/08/06 by Fanggui Wang, Hwankoo Kim, Hwankoo Kım · 6 citations
Mathematics · #Algebraic structures and combinatorial models #Combinatorics #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Discrete mathematics #Finitely-generated abelian group #Flat module #Invertible matrix #Mathematics #Projective module #Projective test #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Type (biology)
- Ga-ACTIONS ON AFFINE CONES
2012/12/31 by TAKASHI KISHIMOTO, Takashi Kishimoto, YURI PROKHOROV +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Affine Lie algebra #Affine coordinate system #Affine geometry #Affine group #Affine hull #Affine representation #Affine space #Affine transformation #Affine variety #Algebra over a field #Algebraic Geometry and Number Theory #Finite Group Theory Research #Mathematics #Projective test #Projective variety #Pure mathematics #Toric variety #Unipotent #Variety (cybernetics) #math.AG
- Projective Dimension, Graph Domination Parameters, and Independence Complex Homology
2011/10/13 by Hailong Dao, Dao, Hailong, Jay Schweig +1 · 1 citation
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Combinatorics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Dimension (graph theory) #Discrete mathematics #FOS: Mathematics #Graph #Independence (probability theory) #Mathematics #Pairwise comparison #Projective test #Pure mathematics #Topological and Geometric Data Analysis #math.AC #math.CO
- Asymptotic syzygies of algebraic varieties
2011/03/31 by Lawrence Ein, Robert Lazarsfeld · 18 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Algebraic number #Algebraic variety #Commutative Algebra and Its Applications #Embedding #Line bundle #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Projective space #Projective test #Projective variety #Pure mathematics #math.AC #math.AG
- Points and Lines
2010/12/10 by Ernest Shult · 3 citations
Mathematics · #Algebra over a field #Astronomy #Geology #Geometry #Lie group #Mathematics #Mathematics and Applications #Paleontology #Physics #Polar #Projective test #Pure mathematics #Type (biology)
- Quartic curves and their bitangents
2010/08/31 by Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant · 3 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Combinatorics #Geometry #Mathematics #Mathematics and Applications #Plane (geometry) #Plane curve #Polynomial and algebraic computation #Projective line #Projective plane #Projective space #Projective test #Pure mathematics #Quartic function #Quartic plane curve #Quartic surface #Twisted cubic #Variety (cybernetics) #cs.SC #math.AG #msc:13P15 #msc:14H45 #msc:14H50 #msc:14Q05
- Generalized Projective Representations for sl(n+1)
2010/06/27 by Yufeng Zhao, Zhao, Yufeng, Xiaoping Xu +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #(g,K)-module #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Complex projective space #FOS: Mathematics #FOS: Physical sciences #Faithful representation #Functor #Fundamental representation #Induced representation #Irreducible representation #Lie algebra #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Polynomial #Projective representation #Projective space #Projective test #Pure mathematics #Quaternionic projective space #Representation Theory (math.RT) #Representation theory #Tensor product #Trivial representation #math-ph #math.MP #math.RT
- Projective Reduction of the Discrete Painleve System of Type (A2 + A1)(1)
2009/10/31 by K. Kajiwara, Kenji Kajiwara, Nobutaka Nakazono +3 · 1 citation
Mathematics · Physics and Astronomy · #Affine transformation #Algebraic structures and combinatorial models #Factorization #Group (periodic table) #Hypergeometric distribution #Nonlinear Waves and Solitons #Projective test #Quantum Mechanics and Non-Hermitian Physics #Reduction (mathematics) #Type (biology) #Weyl group #nlin.SI
- A catalogue of simplicial arrangements in the real projective plane
2009/02/27 by Branko Grünbaum · 2 citations
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Graph Labeling and Dimension Problems #Advanced Combinatorial Mathematics #Simplicial complex #Mathematics #Pencil (optics) #Simplicial homology #Simplicial approximation theorem #Abstract simplicial complex #Combinatorics #Complement (music) #h-vector #Projective plane #Simplicial manifold #Real projective plane #Projective test #Listing (finance) #Pure mathematics #Projective space #Simplicial set #Collineation #Geometry
- Immersions of the projective plane with one triple point
2009/02/10 by Sue Goodman, Marek Kossowski · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Blocking set #Collineation #Combinatorics #Geometric and Algebraic Topology #Geometry #Homotopy and Cohomology in Algebraic Topology #Immersion (mathematics) #Line at infinity #Mathematics #Physics #Projective plane #Projective space #Projective test #Pure mathematics #Real projective plane #Triple point
- Finite Subgroups of the Plane Cremona Group
2009/01/01 by Igor Dolgachev, V. A. Iskovskikh · 2 citations
Mathematics · #Finite Group Theory Research #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Conjugacy class #Automorphism #Projective plane #Mathematics #Group (periodic table) #Plane (geometry) #Pure mathematics #Projective test #Algebra over a field #Geometry #Physics
- Representations of Semisimple Lie Algebras in the BGG Category 𝒪
2008/07/22 by James E. Humphreys · 3 citations
Mathematics · Psychology · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Computer science #Functor #Fundamental representation #Homotopy and Cohomology in Algebraic Topology #Index (typography) #Lie algebra #Linguistics #Mathematics #Philosophy #Projective test #Psychology #Pure mathematics #Series (stratigraphy)
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