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arXiv · 2207.14081

Irregular fibrations of derived equivalent varieties

Federico Caucci·Luigi Lombardi
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Abstract

We study the behavior of irregular fibrations of a variety under derived equivalence of its bounded derived category. In particular we prove the derived invariance of the existence of an irregular fibration over a variety of general type, extending the case of irrational pencils onto curves of genus $g\geq 2$. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers.

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Federico Caucci, Luigi Lombardi. 2022-07-28. Irregular fibrations of derived equivalent varieties. https://arxiv.org/abs/2207.14081

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