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 language | English (US) |
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Pages (from-to) | 2273-2295 |
Number of pages | 23 |
Journal | Algebra and Number Theory |
Volume | 8 |
Issue number | 9 |
DOIs | |
State | Published - 2014 |
Keywords
- Effective results
- Pluricanonical bundles
- Vanishing theorems
ASJC Scopus subject areas
- Algebra and Number Theory