On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves

Reference : On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22387

Title :	On the singular sheaves in the fine 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 >]
	Leytem, Alain [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	27-Sep-2016
Journal title :	Canadian Mathematical Bulletin
Peer reviewed :	Yes
Audience :	International
Keywords :	[en] Simpson moduli spaces ; coherent sheaves ; vector bundles on curves ; singular sheaves
Abstract :	[en] In the Simpson moduli space $M$ of semi-stable sheaves with Hilbert polynomial $dm-1$ on a projective plane we study the closed subvariety $M'$ of sheaves that are not locally free on their support. We show that for $d\ge 4$ it is a singular subvariety of codimension $2$ in $M$. The blow up of $M$ along $M'$ is interpreted as a (partial) modification of $M\setminus M'$ by line bundles (on support).
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/22387
DOI :	10.4153/CMB-2016-059-7
Other URL :	http://cms.math.ca/10.4153/CMB-2016-059-7

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