Bo Berndtsson

1. Bergman kernels and the pseudoeffectivity of relative canonical bundles
   2008/10/20 by Bo Berndtsson, Mihai Păun · 26 citations
   Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows
2. Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties
   2012/07/25 by Robert J. Berman, Bo Berndtsson, Berman, Robert J. +1 · 10 citations
   Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
3. Convexity of the K-energy on the space of Kahler metrics and uniqueness of extremal metrics
   2014/05/02 by Robert J. Berman, Berman, Robert J., Bo Berndtsson +1 · 9 citations
   Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory
4. A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem
   2011/03/04 by Bo Berndtsson, Berndtsson, Bo · 11 citations
   Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
5. Probability measures related to geodesics in the space of Kähler metrics
   2009/07/10 by Bo Berndtsson, Berndtsson, Bo · 5 citations
   Mathematics · #Advanced Algebra and Geometry #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
6. Positivity of direct image bundles and convexity on the space of Kahler metrics
   2006/08/15 by Bo Berndtsson, Berndtsson, Bo · 2 citations
   Mathematics · #32L15 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
7. A proof of the Ohsawa-Takegoshi theorem with sharp estimates
   2014/07/18 by Bo Berndtsson, László Lempert, Berndtsson, Bo +1 · 3 citations
   Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Holomorphic and Operator Theory
8. Bergman kernels and subadjunction
   2010/02/22 by Bo Berndtsson, Mihai Păun, Berndtsson, Bo +1 · 2 citations
   Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Meromorphic and Entire Functions
9. Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
   2005/05/23 by Bo Berndtsson, Berndtsson, Bo · 2 citations
   Mathematics · #32E #Algebraic Geometry (math.AG) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #math.AG #math.CV #msc:32E
10. Quantitative extensions of pluricanonical forms and closed positive currents
    2010/02/24 by Bo Berndtsson, Mihai Păun, Berndtsson, Bo +1 · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds
11. The volume of Kähler-Einstein Fano varieties and convex bodies
    2012/04/05 by Robert J. Berman, Bo Berndtsson, Berman, Robert J. +1 · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
12. The openness conjecture and complex Brunn-Minkowski inequalities
    2014/05/05 by Bo Berndtsson, Berndtsson, Bo · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
13. Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's "hypothèse fondamentale"
    2011/09/06 by Robert J. Berman, Bo Berndtsson, Berman, Robert J. +1 · 5 citations
    Mathematics · #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory
14. Long geodesics in the space of Kähler metrics
    2022/05/03 by Bo Berndtsson, Berndtsson, Bo · 2 citations
    Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research