On a relative Fourier-Mukai transform on genus one fibrations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study relative Fourier-Mukai transforms on genus one fibrations with section, allowing explicitly the total space of the fibration to be singular and non-projective. Grothendieck duality is used to prove a skew-commutativity relation between this equivalence of categories and certain duality functors. We use our results to explicitly construct examples of semi-stable sheaves on degenerating families of elliptic curves.
Major revision, clearer notation, improved presentation, simplified proofs and new examples included; 27 pages

Keywords

Algebraic Geometry, 18E30, 14H60, 14H20, 14J27, 14H10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72896

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410349
 http://arxiv.org/abs/math/0410349

Collections

arXiv