Rank 1 Bridgeland stable moduli spaces on a principally polarized abelian surface

Maciocia, A. and Meachan, C. (2013) Rank 1 Bridgeland stable moduli spaces on a principally polarized abelian surface. International Mathematics Research Notices, 2013(9), pp. 2054-2077. (doi: 10.1093/imrn/rns107)

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Abstract

We compute moduli spaces of Bridgeland stable objects on an irreducible principally polarized complex abelian surface Graphic corresponding to twisted ideal sheaves. We use Fourier–Mukai techniques to extend the ideas of Arcara and Bertram to express wall crossings as Mukai flops and show that the moduli spaces are projective.

Item Type:Articles
Additional Information:This work forms part of the EPSRC funded PhD thesis (to C.M.).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Meachan, Dr Ciaran
Authors: Maciocia, A., and Meachan, C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Mathematics Research Notices
Publisher:Oxford University Press
ISSN:1073-7928
ISSN (Online):1687-0247
Published Online:28 March 2012
Copyright Holders:Copyright © 2012 The Authors
First Published:First published in International Mathematics Research Notices 2013(9): 2054-2077
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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