Article (Scientific journals)
Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
Iena, Oleksandr
2015In Communications in Algebra, 43 (2), p. 812-828
Peer reviewed
 

Files


Full Text
PaperU.pdf
Author postprint (28.08 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Coherent sheaves; Simpson moduli spaces; 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).
Disciplines :
Mathematics
Author, co-author :
Iena, Oleksandr ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
Publication date :
2015
Journal title :
Communications in Algebra
ISSN :
0092-7872
Publisher :
Taylor & Francis Ltd
Volume :
43
Issue :
2
Pages :
812-828
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 18 November 2014

Statistics


Number of views
88 (11 by Unilu)
Number of downloads
166 (9 by Unilu)

Scopus citations®
 
3
Scopus citations®
without self-citations
0
OpenCitations
 
2
WoS citations
 
2

Bibliography


Similar publications



Contact ORBilu