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≥2. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers.
Irregular fibrations of derived equivalent varieties / Caucci, F.; Lombardi, L.. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - 41:3(2025), pp. 891-912. [10.4171/RMI/1546]
Irregular fibrations of derived equivalent varieties
Caucci F.;
2025
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≥2. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers.File allegati a questo prodotto
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