Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann

DOI10.1007/s00032-010-0118-3zbMath1205.32017arXiv1003.5067OpenAlexW2143623784MaRDI QIDQ627062

Jean-Pierre Demailly

Publication date: 19 February 2011

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

Full work available at URL: https://arxiv.org/abs/1003.5067

zbMATH Keywords

Riemann-Roch formulaDolbeault cohomologyHermitian metricsholomorphic Morse inequalitiesasymptotic cohomology groupsChern curvature tensorMonge-Ampère integralsplurisuharmonic approximation

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (5)

Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds ⋮ Asymptotic purity for very general hypersurfaces of \(\mathbb P^{n } \times \mathbb P^{n }\) of bidegree \((k, k)\) ⋮ A converse to the Andreotti-Grauert theorem ⋮ Positivity on subvarieties and vanishing of higher cohomology ⋮ Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

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