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C. R. Acad. Sci. Paris, Ser. I 339 (2004) 193198 Differential Geometry
 

Summary: C. R. Acad. Sci. Paris, Ser. I 339 (2004) 193­198
Differential Geometry
On the asymptotic expansion of Bergman kernel
Xianzhe Dai a
, Kefeng Liu b,c
, Xiaonan Ma d
a Department of Mathematics, UCSB, California, CA 93106, USA
b Center of Mathematical Science, Zhejiang University, China
c Department of Mathematics, UCLA, California, CA 90095-1555, USA
d Centre de mathématiques, CNRS UMR 7640, École polytechnique, 91128 Palaiseau cedex, France
Received 14 May 2004; accepted 18 May 2004
Presented by Jean-Michel Bismut
Abstract
We study the asymptotics of the Bergman kernel and the heat kernel of the spinc Dirac operator on high tensor powers of a
line bundle. To cite this article: X. Dai et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).
2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
Résumé
Sur le développement asymptotique du noyau de Bergman. On étudions les développements asymptotiques du noyau de
la chaleur et de Bergman de l'opérateur de Dirac spinc associé à une puissance grande d'un fibré en droites positif. Pour citer
cet article : X. Dai et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara
Ma, Xiaonan - Institut de Mathématiques de Jussieu, Université Paris 7 - Denis Diderot

 

Collections: Mathematics