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.
Derived invariance of the Albanese relative canonical ring / F. Caucci, L. Lombardi, G. Pareschi. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 419:(2023 Apr 15), pp. 108965.1-108965.47. [10.1016/j.aim.2023.108965]
Derived invariance of the Albanese relative canonical ring
F. Caucci
Primo
;L. Lombardi
Penultimo
;
2023
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.
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