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Sébastien Boucksom

  1. Monge-Ampère equations in big cohomology classes
    2008/12/18 by Sébastien Boucksom, Boucksom, S., Philippe Eyssidieux +5 · 15 citations
    Mathematics · #32U05 (primary) 35D05 #35D10 (secondary) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
  2. The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
    2004/05/14 by Sébastien Boucksom, Boucksom, Sébastien, Jean-Pierre Demailly +5 · 9 citations
    Mathematics · #14C17 #14C30 #32J27 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C17 #msc:14C30 #msc:32J27
  3. A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations
    2021/07/23 by Sébastien Boucksom, Boucksom, Sébastien, Mattias Jönsson +1 · 7 citations
    Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry
  4. Global pluripotential theory over a trivially valued field
    2018/01/24 by Sébastien Boucksom, Boucksom, Sébastien, Mattias Jönsson +1 · 5 citations
    Mathematics · #32P09 #32U05 #32W20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals
  5. K "ahler-Einstein metrics and the K "ahler-Ricci flow on log Fano\n varieties
    2011/11/30 by Robert J. Berman, Sébastien Boucksom, Berman, Robert J. +7 · 4 citations
    Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory
  6. Solution to a non-Archimedean Monge-Ampère equation
    2011/12/30 by Sébastien Boucksom, C. Favre, Boucksom, S. +3 · 4 citations
    Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows
  7. A non-Archimedean approach to K-stability, II: divisorial stability and openness
    2022/06/19 by Sébastien Boucksom, Boucksom, Sebastien, Mattias Jönsson +1 · 7 citations
    Economics, Econometrics and Finance · Mathematics · #32P05 #32Q26 #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Stochastic processes and financial applications #advanced mathematical theories
  8. On the volume of a line bundle
    2002/01/05 by Sebastien Boucksom, Sébastien Boucksom, Boucksom, Sebastien · 3 citations
    Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.CV #msc:14C20 #msc:32J25 #msc:32J27
  9. A non-Archimedean approach to K-stability
    2018/05/28 by Sébastien Boucksom, Boucksom, Sébastien, Mattias Jönsson +1 · 5 citations
    Mathematics · #14G22 #14J45 #32P05 #32Q26 #32U05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds
  10. Spaces of norms, determinant of cohomology and Fekete points in\n non-Archimedean geometry
    2018/05/02 by Sébastien Boucksom, Dennis Eriksson, Boucksom, Sébastien +1 · 3 citations
    Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows
  11. Valuations and plurisubharmonic singularities
    2007/02/16 by Sébastien Boucksom, Boucksom, Sebastien, Charles Favre +3 · 2 citations
    Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds