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arxiv: 1608.08700 · v3 · pith:R6DDIABInew · submitted 2016-08-31 · 🧮 math.AG

The K\"unneth Formula for the Twisted de Rham and Higgs Cohomologies

classification 🧮 math.AG
keywords cohomologiesformulahiggsrhamtwistedunnethcarefulcertain
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We prove the K\"unneth formula for the irregular Hodge filtrations on the exponentially twisted de Rham and the Higgs cohomologies of smooth quasi-projective complex varieties. The method involves a careful comparison of the underlying chain complexes under a certain elimination of indeterminacy.

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