Irregular fibrations of derived equivalent varieties
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.
Authors
- Federico Caucci (ORCID: https://orcid.org/0000-0003-0018-069X)
- Luigi Lombardi (ORCID: https://orcid.org/0000-0001-9899-4450)
Institutions
- University of Rome Tor Vergata (IT)
- University of Milan (IT)
Publication Details
- Journal
- Revista Matemática Iberoamericana
- Published
- 2025-03-14
- DOI
- https://doi.org/10.4171/rmi/1546
- Primary Topic
- Elasticity and Material Modeling
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università degli Studi di Milano
- Fudan University
- Università degli Studi di Roma Tor Vergata
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
- Division of Mathematical Sciences