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arXiv:1202.4200 [math.AG]AbstractReferencesReviewsResources

Vanishing theorems

Osamu Fujino

Published 2012-02-20, updated 2013-01-24Version 2

We prove some injectivity, torsion-free, and vanishing theorems for simple normal crossing pairs. Our results heavily depend on the theory of mixed Hodge structures on compact support cohomology groups. We also treat several basic properties of semi divisorial log terminal pairs.

Comments: 22 pages, v2: revision following referee's report. arXiv admin note: text overlap with arXiv:1203.6697, arXiv:0907.1506
Categories: math.AG
Subjects: 14F17, 14E30
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