- Home
- About
- Find staff
- Bo Berndtsson
Bo Berndtsson
Professor Emeritus
Department of MathematicalAbout Bo Berndtsson
I do research in several dimensional complex analysis and complex geometry.
-
Plurisubharmonic functions and real submanifolds of
Cn
Bo Berndtsson
Indagationes Mathematicae-New Series - 2023 -
Algebraic fiber spaces and curvature of higher direct
images
Bo Berndtsson, M. Pǎun, X. Wang
Journal of the Institute of Mathematics of Jussieu - 2022 -
Complex interpolation of R-norms, duality and
foliations
Bo Berndtsson, D. Cordero-Erausquin, B. Klartag, Y. A. Rubinstein
Journal of the European Mathematical Society - 2020 -
COMPLEX LEGENDRE
DUALITY
Bo Berndtsson, D. Cordero-Erausquin, B. Klartag, Y. A. Rubinstein
American Journal of Mathematics - 2020 -
Convexity of the K-energy on the space of Kähler metrics and uniqueness of extremal
metrics
Robert Berman, Bo Berndtsson
Journal of the American Mathematical Society - 2017 -
A comparison principle for bergman
kernels
Bo Berndtsson
Trends in Mathematics - 2017 -
The volume of Kahler-Einstein varieties and convex
bodies
Bo Berndtsson, Robert Berman
Journal für die Reine und Angewandte Mathematik - 2017 -
A proof of the Ohsawa-Takegoshi theorem with sharp
estimates
Bo Berndtsson, L. Lempert
Journal of the Mathematical Society of Japan - 2016 -
The Openness Conjecture and Complex Brunn-Minkowski
Inequalities
Bo Berndtsson
Abel Symposium on Complex Geometry - 2015 -
A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler
geometry
Bo Berndtsson
Inventiones Mathematicae - 2015 -
Symmetrization of Plurisubharmonic and Convex
Functions
Robert Berman, Bo Berndtsson
Indiana University Mathematics Journal - 2014 -
Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano
varieties
Robert Berman, Bo Berndtsson
Annales de la faculté des sciences de Toulouse - 2013 -
Convexity on the space of Kähler
metrics
Bo Berndtsson
Annales de la Faculté des Sciences de Toulouse - 2013 -
L-2-Extension of partial derivative-closed
form
Bo Berndtsson
Illinois Journal of Mathematics - 2012 -
Quantitative extensions of pluricanonical forms and closed positive
currents
Bo Berndtsson, Mihai Paun
NAGOYA MATHEMATICAL JOURNAL - 2012 -
L^2-extensions of dbar-closed
forms
Bo Berndtsson
Arxiv:1104.4620 - 2011 -
A Brunn-Minkowski inequality for Fano
manifolds
Bo Berndtsson
arxiv:1103.0923 - 2011 -
Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's "hypothèse
fondamentale"
Robert Berman, Bo Berndtsson
arxiv:1011.3976 - 2011 -
Strict and nonstrict positivity of direct image
bundles
Bo Berndtsson
Mathematische Zeitschrift - 2011 -
Strict and non strict positivity of direct image
bundles
Bo Berndtsson
arXiv:1002.4797 - 2010 -
Bergman kernels and
subadjunction
Bo Berndtsson, Mihai Paun
arXiv:1002.4145 - 2010 -
Positivity of direct image bundles and convexity on the space of Kähler
metrics.
Bo Berndtsson
Journal of differential geometry - 2009 -
Curvature of vector bundles associated to holomorphic
fibrations
Bo Berndtsson
Annals of Mathematics - 2009 -
Probability measures related to geodesics in the space of Kähler
metrics
Bo Berndtsson
arXiv:0907.1806 - 2009 -
A Bergman kernel proof of the Kawamata subadjunction
theorem
Bo Berndtsson, Mihai Paun
arXiv:0804.3884 - 2008 -
Bergman kernels and the pseudoeffectivity of relative canonical
bundles
Bo Berndtsson
Duke Mathematical Journal - 2008 -
An extension problem for convex
functions
Bo Berndtsson
arXiv:0806.1435 - 2008 -
A direct approach to Bergman kernel asymptotics for positive line
bundles
Bo Berndtsson, Robert Berman, Johannes Sjöstrand
Arkiv för Matematik - 2008 -
L 2 -estimates for the d-equation and Witten’s proof of the Morse
inequalities
Bo Berndtsson
Annales de la faculte des sciences a Toulouse - 2007 -
Positivity of direct image bundles and convexity on the space of Kahler
metrics
Bo Berndtsson
2006 -
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex
domains
Bo Berndtsson
Annales de l'institut Fourier - 2006 -
A remark on approximation on totally real
sets
Bo Berndtsson
2006 -
Integral formulas and the Ohsawa-Takegoshi extension
theorem
Bo Berndtsson
Sci. China Ser. A 48 (2005), suppl., 61--73. - 2005 -
The Maximum Polygon Area and its Relation to the Isoperimetric
Inequality
Magnus Karlsson, Bo Berndtsson
2005 -
Integral Formulas and the Oshawa-Takegoshi Extension
Theorem
Bo Berndtsson
2005 -
Subharmonicity Properties of the Bergman Kernel and Some Other Functions Associated to Pseudoconvex
Domains
Bo Berndtsson
2005 -
Curvature of Vector Bundles Associated to Holomorphic
Fibrations
Bo Berndtsson
2005 -
Asymptotics of Bergman
Kernels
Robert Berman, Bo Berndtsson, Johannes Sjöstrand
2005 -
L2-estimates for the d-equation and Witten's Proof of the Morse
Inequalities
Bo Berndtsson
2005 -
Curvature of Vector Bundles and Subharmonicity of Bergman
Kernels
Bo Berndtsson
2005 -
Non-holomorphic functional calculus for commuting operators with real
spectrum
-
Almost holomorphic extensions of ultradifferentiable
functions