On direct images of pluricanonical bundles

Mihnea Popa*, Christian Schnell

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We show that techniques inspired by Kollár and Viehweg’s study of weak positivity, combined with vanishing for log-canonical pairs, lead to new generation and vanishing results for direct images of pluricanonical bundles. We formulate the strongest such results as Fujita conjecture-type statements, which are then shown to govern a range of fundamental properties of direct images of pluricanonical and pluriadjoint line bundles, like effective vanishing theorems, weak positivity, or generic vanishing.

Original languageEnglish (US)
Pages (from-to)2273-2295
Number of pages23
JournalAlgebra and Number Theory
Volume8
Issue number9
DOIs
StatePublished - 2014

Keywords

  • Effective results
  • Pluricanonical bundles
  • Vanishing theorems

ASJC Scopus subject areas

  • Algebra and Number Theory

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