Bo Berndtsson
Jag forskar i flerdimensionell komplex analys och komplex geometri.
Personlig hemsida: http://www.math.chalmers.se/~bob/
Visar 51 publikationer
On the Ohsawa–Takegoshi Extension Theorem
Plurisubharmonic functions and real submanifolds of ℂn
Bergman kernels for Paley-Wiener spaces and Nazarov’s proof of the Bourgain-Milman theorem
ALGEBRAIC FIBER SPACES and CURVATURE of HIGHER DIRECT IMAGES
Long Geodesics in the Space of Kähler Metrics
Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem
Lelong Numbers and Vector Bundles
Complex interpolation of R-norms, duality and foliations
Superforms, supercurrents, minimal manifolds and Riemannian geometry
Complex Brunn-Minkowski theory and positivity of vector bundles
Probability measures associated to geodesics in the space of kähler metrics
The volume of Kahler-Einstein varieties and convex bodies
Convexity of the K-energy on the space of Kähler metrics and uniqueness of extremal metrics
Real and complex Brunn-Minkowski theory
A comparison principle for bergman kernels
A proof of the Ohsawa-Takegoshi theorem with sharp estimates
The Openness Conjecture and Complex Brunn-Minkowski Inequalities
A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
Symmetrization of Plurisubharmonic and Convex Functions
Convexity on the space of Kähler metrics
Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties
L-2-Extension of partial derivative-closed form
Quantitative extensions of pluricanonical forms and closed positive currents
A Brunn-Minkowski inequality for Fano manifolds
Strict and nonstrict positivity of direct image bundles
Strict and non strict positivity of direct image bundles
Bergman kernels and subadjunction
Probability measures related to geodesics in the space of Kähler metrics
Positivity of direct image bundles and convexity on the space of Kähler metrics.
Curvature of vector bundles associated to holomorphic fibrations
A Bergman kernel proof of the Kawamata subadjunction theorem
An extension problem for convex functions
Bergman kernels and the pseudoeffectivity of relative canonical bundles
A direct approach to Bergman kernel asymptotics for positive line bundles
L 2 -estimates for the d-equation and Witten’s proof of the Morse inequalities
Positivity of direct image bundles and convexity on the space of Kahler metrics
L2-estimates for the d-equation and Witten's Proof of the Morse Inequalities
Integral formulas and the Ohsawa-Takegoshi extension theorem
The Maximum Polygon Area and its Relation to the Isoperimetric Inequality
Non-holomorphic functional calculus for commuting operators with real spectrum
Almost holomorphic extensions of ultradifferentiable functions
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Visar 2 forskningsprojekt
Komplexa Brunn-Minkowski olikheter