Reference : Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/18830
Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves
English
Iena, Oleksandr mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2015
Communications in Algebra
Taylor & Francis Ltd
43
2
812-828
Yes (verified by ORBilu)
International
0092-7872
[en] Coherent sheaves ; Simpson moduli spaces ; Vector bundles on curves
[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).
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/18830
10.1080/00927872.2013.849265
http://www.tandfonline.com/doi/full/10.1080/00927872.2013.849265#.VGuvhWd5U0k

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
PaperU.pdfAuthor postprint27.42 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.