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Ludmil Katzarkov

  1. Hodge theoretic aspects of mirror symmetry
    2008/05/31 by Ludmil Katzarkov, Maxim Kontsevich, Katzarkov, L. +3 · 7 citations
    Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology
  2. A category of kernels for equivariant factorizations and its\n implications for Hodge theory
    2011/05/16 by Matthew R. Ballard, David Favero, Ballard, Matthew +3 · 5 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
  3. Symplectic Lefschetz fibrations with arbitrary fundamental groups
    1998/10/07 by Jaume Amorós, Amorós, J., Fedor Bogomolov +7 · 2 citations
    Mathematics · #14D05 #57M05 #57M50 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
  4. Linear Shafarevich Conjecture
    2009/04/04 by Philippe Eyssidieux, Ludmil Katzarkov, Eyssidieux, Philippe +5 · 2 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds
  5. 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
  6. 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)
  7. Partially wrapped Fukaya categories of simplicial skeleta
    2017/08/21 by Ludmil Katzarkov, Katzarkov, Ludmil, Gabriel Kerr +1 · 2 citations
    Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics
  8. 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
  9. \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)
  10. 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)
  11. 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
  12. 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