Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces

DOI10.5802/aif.2826zbMath1298.14012arXiv1104.5313OpenAlexW2964058328MaRDI QIDQ2511498

Shin-ichi Matsumura

Publication date: 6 August 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5313

zbMATH Keywords

Hermitian metricsasymptotic cohomology groups\(q\)-positivityChern curvaturespartial cohomology vanishing

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Divisors, linear systems, invertible sheaves (14C20) Bundle convexity (32L15)

Related Items

On the \(q\)-ampleness of the tensor product of two line bundles, Splitting criteria for vector bundles induced by restrictions to divisors, On partially ample divisors, Partially ample subvarieties of projective varieties, Open problems on structure of positively curved projective varieties, RC-positive metrics on rationally connected manifolds, Logarithmic vanishing theorems for effective \(q\)-ample divisors, A Nadel vanishing theorem via injectivity theorems, A partial converse to the Andreotti–Grauert theorem

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