Universal plane curves and Simpson moduli spaces of 1-dimensional sheaves

Reference : Universal plane curves and Simpson moduli spaces of 1-dimensional sheaves


	Document type :	Scientific congresses, symposiums and conference proceedings : Poster
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/21950

Title :	Universal plane curves and Simpson moduli spaces of 1-dimensional sheaves
Language :	English
Author, co-author :	Iena, Oleksandr [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Jun-2012
Peer reviewed :	No
Audience :	International
Event name :	1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
Event date :	from 6-6-2012 to 8-6-2012
Event organizer :	University of Liege
Event place (city) :	Liege
Event country :	Belgium
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).
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/21950

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