Data di Pubblicazione:
2009
Citazione:
Derived equivalences of K3 surfaces and orientation / D. Huybrechts, E. Macrì, P. Stellari. - In: DUKE MATHEMATICAL JOURNAL. - ISSN 0012-7094. - 149:3(2009), pp. 461-507.
Abstract:
Every Fourier-Mukai equivalence between the derived categories of two K3 surfaces induces a Hodge isometry of their cohomologies viewed as Hodge structures of weight two endowed with the Mukai pairing. We prove that this Hodge isometry preserves the natural orientation of the four positive directions. This leads to a complete description of the action of the group of all autoequivalences on cohomology very much like the classical Torelli theorem for K3 surfaces determining all Hodge isometries that are induced by automorphisms
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
D. Huybrechts, E. Macrì, P. Stellari
Link alla scheda completa: