universal families; extensions; coherent systems; cohomology and base change for families of coherent system
Abstract :
[en] We prove a result of cohomology and base change for families of
coherent systems over a curve. We use that in order to prove the existence
of (non-split, non-degenerate) universal families of extensions for families of
coherent systems (in the spirit of the paper "Universal families of extensions"
by H. Lange). Such results will be applied in subsequent papers in order to
describe the wallcrossing for some moduli spaces of coherent systems.
Disciplines :
Mathematics
Author, co-author :
Tommasini, Matteo ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Universal families of extensions of coherent systems