A stochastic approach to the Riemann-Roch theorem

zbMath0709.58036MaRDI QIDQ921682

Naomasa Ueki, Ichiro Shigekawa

Publication date: 1988

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

holomorphic vector bundleRiemann-Roch theoremcompact Kähler manifoldindex of Dolbeault complexspaces of complex differential forms

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Brownian motion (60J65) Riemann-Roch theorems (14C40) Index theory and related fixed-point theorems on manifolds (58J20) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Differential complexes (58J10) Holomorphic bundles and generalizations (32L05)

Related Items (2)

\(L^p\)-estimates and existence theorems for the \(\bar \partial\)-operator on complete Kähler manifolds ⋮ Differentiable measures and the Malliavin calculus

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