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arxiv: 1302.2259 · v2 · pith:XMCAT22Knew · submitted 2013-02-09 · 🧮 math.AG

Derived equivalence and non-vanishing loci II

classification 🧮 math.AG
keywords derivedequivalenceinvariancelocibehaviorcasecasescohomological
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We prove a few cases of a conjecture on the invariance of cohomological support loci under derived equivalence by establishing a concrete connection with the related problem of the invariance of Hodge numbers. We use the main case in order to study the derived behavior of fibrations over curves.

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