Reference : Universal plane curve and moduli spaces of 1-dimensional coherent sheaves |
E-prints/Working papers : Already available on another site | |||
Physical, chemical, mathematical & earth Sciences : Mathematics | |||
http://hdl.handle.net/10993/10961 | |||
Universal plane curve and moduli spaces of 1-dimensional coherent sheaves | |
English | |
Iena, Oleksandr ![]() | |
8-Jan-2014 | |
v3 | |
13 | |
No | |
[en] Simpson moduli spaces ; coherent sheaves ; 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). | |
http://hdl.handle.net/10993/10961 | |
http://arxiv.org/abs/1103.1485v3 |
There is no file associated with this reference.
All documents in ORBilu are protected by a user license.