Data di Pubblicazione:
2014
Citazione:
Derived invariants of irregular varieties and Hochschild homology / L. Lombardi. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - 8:3(2014), pp. 513-542. [10.2140/ant.2014.8.513]
Abstract:
We study the behavior of cohomological support loci of the canonical bundle under derived equivalence of smooth projective varieties. This is achieved by investigating the derived invariance of a generalized version of Hochschild homology. Furthermore, using techniques coming from birational geometry, we establish the derived invariance of the Albanese dimension for varieties having nonnegative Kodaira dimension. We apply our machinery to study the derived invariance of the holomorphic Euler characteristic and of certain Hodge numbers for special classes of varieties. Further applications concern the behavior of particular types of fibrations under derived equivalence.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
equivalences of derived categories; support loci; Hochschild homology; Hodge numbers; Picard variety; Rouquier isomorphism
Elenco autori:
L. Lombardi
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