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 class of the relative canonical model in a suitable variant of the Grothendieck ring of varieties. Then we derive some applications to the derived invariance of Hodge numbers.
Caucci, F., Lombardi, L., Pareschi, G. (2023). Derived invariance of the relative Albanese canonical ring. ADVANCES IN MATHEMATICS, 419 [10.1016/j.aim.2023.108965].
Derived invariance of the relative Albanese canonical ring
Luigi Lombardi;Giuseppe Pareschi
2023-01-01
Abstract
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 class of the relative canonical model in a suitable variant of the Grothendieck ring of varieties. Then we derive some applications to the derived invariance of Hodge numbers.File in questo prodotto:
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