Bo Berndtsson

Professor at Chalmers, Mathematical Sciences, Algebra and geometry

I do research in several dimensional complex analysis and complex geometry.Personal home page: http://www.math.chalmers.se/~bob/

Source: chalmers.se

Projects

2013–2016

Complex analysis and convexity

Bo Berndtsson Algebra and geometry
Swedish Research Council (VR)

2010–2012

Complex Brunn-Minkowski inequalities

Bo Berndtsson Algebra and geometry
Swedish Research Council (VR)

There might be more projects where Bo Berndtsson participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2017

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. Vol. 30 (4), p. 1165-1196
Scientific journal article - peer reviewed
2017

Real and complex Brunn-Minkowski theory

Bo Berndtsson,
Analysis and Geometry in Several Complex Variables. Vol. 681, p. 1-27
Conference paper - peer reviewed
2017

The volume of Kahler-Einstein varieties and convex bodies

Bo Berndtsson, Robert Berman,
Journal für die Reine und Angewandte Mathematik. Vol. 2017 (723), p. 127-152
Scientific journal article - peer reviewed
2016

A proof of the Ohsawa-Takegoshi theorem with sharp estimates

Bo Berndtsson, L. Lempert,
Journal of the Mathematical Society of Japan. Vol. 68 (4), p. 1461-1472
Scientific journal article - peer reviewed
2015

The Openness Conjecture and Complex Brunn-Minkowski Inequalities

Bo Berndtsson,
Abel Symposium on Complex Geometry, p. 29-44
Conference paper - peer reviewed
2015

A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry

Bo Berndtsson,
Inventiones Mathematicae. Vol. 200 (1), p. 149-200
Scientific journal article - peer reviewed
2014

Symmetrization of Plurisubharmonic and Convex Functions

Robert Berman, Bo Berndtsson,
Indiana University Mathematics Journal. Vol. 63 (2), p. 345-365
Scientific journal article - peer reviewed
2013

Convexity on the space of Kähler metrics

Bo Berndtsson,
Ann Fac Sci Toulouse. Vol. 22 (6) (4), p. 713-746
Scientific journal article - peer reviewed
2013

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. Vol. 22 (4), p. 649-711
Scientific journal article - peer reviewed
2012

L-2-Extension of partial derivative-closed form

Bo Berndtsson,
Illinois Journal of Mathematics. Vol. 56 (1), p. 21-31
Scientific journal article - peer reviewed
2012

Quantitative extensions of pluricanonical forms and closed positive currents

Bo Berndtsson, Mihai Paun,
NAGOYA MATHEMATICAL JOURNAL. Vol. 205, p. 25-65
Scientific journal article - peer reviewed
2011

A Brunn-Minkowski inequality for Fano manifolds

Bo Berndtsson,
arxiv:1103.0923
Scientific journal article - non peer reviewed
2011

L^2-extensions of dbar-closed forms

Bo Berndtsson,
Arxiv:1104.4620
Scientific journal article - non peer reviewed
2011

Strict and nonstrict positivity of direct image bundles

Bo Berndtsson,
Mathematische Zeitschrift. Vol. 269 (3-4), p. 1201-1218
Scientific journal article - peer reviewed
2010

Bergman kernels and subadjunction

Bo Berndtsson, Mihai Paun,
arXiv:1002.4145
Scientific journal article - non peer reviewed
2010

Strict and non strict positivity of direct image bundles

Bo Berndtsson,
arXiv:1002.4797, p. 15
Scientific journal article - non peer reviewed
2009

Probability measures related to geodesics in the space of Kähler metrics

Bo Berndtsson,
arXiv:0907.1806
Scientific journal article - non peer reviewed
2009

Positivity of direct image bundles and convexity on the space of Kähler metrics.

Bo Berndtsson,
Journal of differential geometry. Vol. 81 (3), p. 457-482
Scientific journal article - peer reviewed
2009

Curvature of vector bundles associated to holomorphic fibrations

Bo Berndtsson,
Annals of Mathematics. Vol. 169 (2), p. 531-560
Scientific journal article - peer reviewed
2008

An extension problem for convex functions

Bo Berndtsson,
arXiv:0806.1435
Scientific journal article - non peer reviewed
2008

A Bergman kernel proof of the Kawamata subadjunction theorem

Bo Berndtsson, Mihai Paun,
arXiv:0804.3884
Scientific journal article - non peer reviewed
2008

A direct approach to Bergman kernel asymptotics for positive line bundles

Bo Berndtsson, Robert Berman, Johannes Sjöstrand et al
Arkiv för Matematik. Vol. 46 (2), p. 197-217
Scientific journal article - peer reviewed
2008

Bergman kernels and the pseudoeffectivity of relative canonical bundles

Bo Berndtsson,
Duke Mathematical Journal. Vol. 145 (2), p. 341-378
Scientific journal article - peer reviewed
2007

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. Vol. 16 (4), p. 773-797
Scientific journal article - peer reviewed
2006

A remark on approximation on totally real sets

Bo Berndtsson,
Preprint
2006

Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains

Bo Berndtsson,
Annales de l'institut Fourier. Vol. 56 (6), p. 1633-1662
Scientific journal article - peer reviewed
2005

Integral formulas and the Ohsawa-Takegoshi extension theorem

Bo Berndtsson,
Sci. China Ser. A 48 (2005), suppl., 61--73.. Vol. 48, p. 61-73
Scientific journal article - peer reviewed
2005

Asymptotics of Bergman Kernels

Robert Berman, Bo Berndtsson, Johannes Sjöstrand et al
Preprint
2001

Almost holomorphic extensions of ultradifferentiable functions

Mats Andersson, Bo Berndtsson,
Preprint