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arXiv · 1405.6125

On direct images of pluricanonical bundles

Mihnea Popa·Christian Schnell
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Abstract

We show that techniques inspired by Kollár and Viehweg's study of weak positivity, combined with vanishing theorems for log-canonical pairs, lead to new consequences regarding generation and vanishing properties 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.

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Mihnea Popa, Christian Schnell. 2014-11-18. On direct images of pluricanonical bundles. https://doi.org/10.2140/ant.2014.8.2273

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