Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

Reference : Universal plane curve and moduli spaces of 1-dimensional coherent sheaves


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/10961

Title :	Universal plane curve and moduli spaces of 1-dimensional coherent sheaves
Language :	English
Author, co-author :	Iena, Oleksandr [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	8-Jan-2014
Edition :	v3
Number of pages :	13
Peer reviewed :	No
Keywords :	[en] Simpson moduli spaces ; coherent sheaves ; vector bundles on curves
Abstract :	[en] We show that the universal plane curve M of fixed degree d > 2 can be seen as a closed subvariety in a certain Simpson moduli space of 1-dimensional sheaves on a projective plane contained in the stable locus. The universal singular locus coincides with the subvariety of M consisting of sheaves that are not locally free on their support. It turns out that the blow up of M along M' may be naturally seen as a compactification of M_B = M\M' by vector bundles (on support).
Permalink :	http://hdl.handle.net/10993/10961
source URL :	http://arxiv.org/abs/1103.1485v3

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