Irregular fibrations of derived equivalent varieties

• Federico Caucci ^[2] ; Luigi Lombardi ^[1]
  1. [1] University of Milan

     University of Milan

     Milán, Italia

     
  2. [2] Università di Roma Tor Vergata, Roma, Italy
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 41, Nº 3, 2025, págs. 891-912
• Idioma: inglés
• DOI: 10.4171/RMI/1546
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• Resumen

  • 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.