Injectivity theorems
classification
🧮 math.AG
keywords
injectivitytheoremssometheoryalgebraicapplicationscohomologycompact
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We prove some injectivity theorems. Our proof depends on the theory of mixed Hodge structures on cohomology groups with compact support. Our injectivity theorems would play crucial roles in the minimal model theory for higher-dimensional algebraic varieties. We also treat some applications.
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