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Bergman kernels and local holomorphic Morse inequalities

open access: yes, 2002
Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integration they yield the usual inequalities. The local weak inequalities hold
Berman, Robert
core   +1 more source
Some of the next articles are maybe not open access.

An alternative proof of Fueter's theorem

Complex Variables and Elliptic Equations, 2006
Dixan Peña Peña, Tao Qian
exaly  

The Bergman kernel of the Fock–Bargmann–Hartogs domain and the polylogarithm function

Complex Variables and Elliptic Equations, 2013
Atsushi Yamamori
exaly  

Sobolev regularity of weighted Bergman projections on the unit disc

Complex Variables and Elliptic Equations, 2013
Yunus E Zeytuncu
exaly  

Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below

Complex Variables and Elliptic Equations, 2020
Franz Berger   +2 more
exaly  

Hilbert spaces of holomorphic functions on generalized Cartan–Hartogs domains

Complex Variables and Elliptic Equations, 2013
Zhiming Feng
exaly  

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