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Applications of the Ohsawa–Takegoshi Extension Theorem to Direct Image Problems

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Publication:5022043
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DOI10.1093/imrn/rnaa018zbMath1481.14012arXiv1703.07279OpenAlexW3015190432WikidataQ126293766 ScholiaQ126293766MaRDI QIDQ5022043

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Publication date: 18 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07279


zbMATH Keywords

ample line bundlesglobal generationprojective manifoldsFujita's conjecture


Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)


Related Items (7)

Notes on direct images of pluricanonical bundles ⋮ Lower bounds for Seshadri constants via successive minima of line bundles ⋮ On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces ⋮ \(L^2\) extension of holomorphic functions for log canonical pairs ⋮ On the effective freeness of the direct images of pluricanonical bundles ⋮ On the global generation of direct images of pluri-adjoint line bundles ⋮ On the Iitaka conjecture \(C_{n,m}\) for Kähler fibre spaces







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