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math.AG2022
Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata
Luigi Lombardi, Christian Schnell
We prove that a torsion-free sheaf endowed with a singular hermitian metric with semi-positive curvature and satisfying the minimal extension property admits a direct-…
math.AG2022
Irregular fibrations of derived equivalent varieties
Federico Caucci, Luigi Lombardi
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…
math.AG2022
Derived invariance of the Albanese relative canonical ring
Federico Caucci, Luigi Lombardi, Giuseppe Pareschi
We show the derived invariance of various geometric invariants of smooth complex projective varieties governed by the Albanese map, including the relative canonical ring and the cl…