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.
Citation
Mihnea Popa. Christian Schnell. "On direct images of pluricanonical bundles." Algebra Number Theory 8 (9) 2273 - 2295, 2014. https://doi.org/10.2140/ant.2014.8.2273
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