Katzarkov, Ludmil

1. Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models
   2014/09/21 by Katzarkov, Ludmil, Kontsevich, Maxim, Pantev, Tony · 4 citations
   #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Symplectic Geometry (math.SG)
2. Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
   2012/04/30 by Abouzaid, Mohammed, Auroux, Denis, Katzarkov, Ludmil · 4 citations
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
3. Variation of geometric invariant theory quotients and derived categories
   2012/03/29 by Ballard, Matthew, Favero, David, Katzarkov, Ludmil · 3 citations
   #Algebraic Geometry (math.AG) #FOS: Mathematics
4. A category of kernels for equivariant factorizations and its\n implications for Hodge theory
   2011/05/16 by Matthew R. Ballard, Ballard, Matthew, David Favero +3 · 4 citations
   Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
5. Towards Mirror Symmetry for Varieties of General Type
   2012/02/18 by Gross, Mark, Katzarkov, Ludmil, Ruddat, Helge · 2 citations
   #14J29 #14J33 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
6. Spectral networks and stability conditions for Fukaya categories with coefficients
   2021/12/27 by Haiden, Fabian, Katzarkov, Ludmil, Simpson, Carlos · 3 citations
   #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
7. On K-Stability of Reductive Varieties
   2003/11/26 by Valery Alexeev, Ludmil Katzarkov, Alexeev, Valery +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.DG
8. A degree doubling formula for braid monodromies and Lefschetz pencils
   2006/04/28 by Denis Auroux, Auroux, Denis, Ludmil Katzarkov +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)
9. Resolutions in factorization categories
   2012/12/13 by Ballard, Matthew, Deliu, Dragos, Favero, David +2 · 1 citation
   #Algebraic Geometry (math.AG) #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics
10. Non-semistable exceptional objects in hereditary categories
    2013/11/27 by Dimitrov, George, Katzarkov, Ludmil · 1 citation
    #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)
11. Bridgeland stability conditions on the acyclic triangular quiver
    2014/10/03 by Dimitrov, George, Katzarkov, Ludmil · 1 citation
    #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)
12. Modularity of Landau-Ginzburg models
    2023/07/28 by Doran, Charles, Harder, Andrew, Katzarkov, Ludmil +2 · 2 citations
    #14J32 #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics
13. Partially wrapped Fukaya categories of simplicial skeleta
    2017/08/21 by Ludmil Katzarkov, Gabriel Kerr, Katzarkov, Ludmil +1 · 2 citations
    Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics
14. Homological Projective Duality via Variation of Geometric Invariant Theory Quotients
    2013/06/17 by Ballard, Matthew, Deliu, Dragos, Favero, David +2 · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics
15. Birational Invariants from Hodge Structures and Quantum Multiplication
    2025/08/07 by Katzarkov, Ludmil, Kontsevich, Maxim, Pantev, Tony +1 · 7 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
16. Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves
    2021/07/05 by Auroux, Denis, Efimov, Alexander I., Katzarkov, Ludmil · 1 citation
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)
17. Shafarevich mappings and period mappings
    2022/09/28 by Mark Green, Phillip Griffiths, Green, Mark +3 · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic and geometric function theory #FOS: Mathematics #Meromorphic and Entire Functions
18. \widehatZ and Splice Diagrams
    2023/04/03 by Sergei Gukov, Ludmil Katzarkov, Gukov, Sergei +3 · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum Algebra (math.QA)
19. Iterated logarithms and gradient flows
    2018/02/12 by Fabian Haiden, Haiden, Fabian, Ludmil Katzarkov +5 · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Representation Theory (math.RT)
20. Exceptional collections and phantoms of special Dolgachev surfaces
    2023/10/20 by Ilya Karzhemanov, Ludmil Katzarkov, Karzhemanov, Ilya +1 · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Analytic and geometric function theory
21. Nonabelian mixed Hodge structures
    2000/06/28 by Ludmil Katzarkov, Tony Pantev, Katzarkov, Ludmil +3 · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG