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).
Disciplines :
Mathematics
Author, co-author :
Iena, Oleksandr ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Universal plane curves and Simpson moduli spaces of 1-dimensional sheaves
Publication date :
June 2012
Event name :
1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
