Notes on direct images of pluricanonical bundles

DOI10.1007/s40879-023-00690-5zbMath1530.14024arXiv2210.05157OpenAlexW4387503433MaRDI QIDQ6055057

Sho Ejiri

Publication date: 25 October 2023

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

Full work available at URL: https://arxiv.org/abs/2210.05157

zbMATH Keywords

positive characteristicFujita's freeness conjecturepluricanonical bundlesdirect images

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

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• On direct images of pluricanonical bundles
• Fundamental theorems for the log minimal model program
• Higher direct images of dualizing sheaves. I
• Effective generation and twisted weak positivity of direct images
• Effective freeness and point separation for adjoint bundles
• On the effective freeness of the direct images of pluricanonical bundles
• Counterexamples to Fujita's conjecture on surfaces in positive characteristic
• On the simultaneous generation of jets of the adjoint bundles
• On the global generation of direct images of pluri-adjoint line bundles
• Semi-positivity in positive characteristics
• Iitaka Conjecture
• Applications of the Ohsawa–Takegoshi Extension Theorem to Direct Image Problems