Vanishing theorems
classification
🧮 math.AG
keywords
pairstheoremsvanishingbasiccohomologycompactcrossingdepend
read the original abstract
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.
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