Reference : A global description of the fine Simpson moduli space of 1-dimensional sheaves suppor...
E-prints/Working papers : First made available on ORBilu
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/24469
A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics
English
Iena, Oleksandr mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
2
15
No
[en] Simpson moduli spaces ; 1-dimensional sheaves ; blow-up ; blow-down ; Poincare polynomial
[en] A global description of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican and show that the Simpson moduli space M=M_{4m±1}(P_2) is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. An easy computation of the Poincaré polynomial of M is presented.
Researchers ; Professionals
http://hdl.handle.net/10993/24469

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
global4.pdfAuthor preprint393.91 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.