Derived invariants of irregular varieties and Hochschild homology

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.

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Titolo: Derived invariants of irregular varieties and Hochschild homology
Autori: 
LOMBARDI, LUIGI
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: 
ALGEBRA & NUMBER THEORY  
Tipologia: Article (author)
Digital Object Identifier (DOI): http://dx.doi.org/10.2140/ant.2014.8.513
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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/2434/638750
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