Derives semi-classical asymptotics for the heat kernel of the ar{ar{ heta}}-Neumann Laplacian on complex manifolds with boundary as k to infinity, extending Bismut, and applies to Morse inequalities and a Weyl law.
Onn-dimensional compact complex manifolds havingnalgebraically independent meromorphic functions. I
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Meromorphic convexity is defined on complex manifolds to introduce M-manifolds, a class containing Stein and projective manifolds as well as long C^2 without nonconstant holomorphic functions.
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Semi-classical heat kernel asymptotics on complex manifolds with boundary
Derives semi-classical asymptotics for the heat kernel of the ar{ar{ heta}}-Neumann Laplacian on complex manifolds with boundary as k to infinity, extending Bismut, and applies to Morse inequalities and a Weyl law.
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Meromorphic Convexity on Complex Manifolds
Meromorphic convexity is defined on complex manifolds to introduce M-manifolds, a class containing Stein and projective manifolds as well as long C^2 without nonconstant holomorphic functions.