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.
Derived invariants of irregular varieties and Hochschild homology / L. Lombardi. - In: ALGEBRA & NUMBER THEORY. - ISSN 1937-0652. - 8:3(2014), pp. 513-542.
Titolo: | Derived invariants of irregular varieties and Hochschild homology | |
Autori: | ||
Parole Chiave: | equivalences of derived categories; support loci; Hochschild homology; Hodge numbers; Picard variety; Rouquier isomorphism | |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria | |
Data di pubblicazione: | 2014 | |
Rivista: | ||
Tipologia: | Article (author) | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.2140/ant.2014.8.513 | |
Appare nelle tipologie: | 01 - Articolo su periodico |
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