English

Universal families of extensions of coherent systems

Algebraic Geometry 2012-12-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1212.0125,
  title  = {Universal families of extensions of coherent systems},
  author = {Matteo Tommasini},
  journal= {arXiv preprint arXiv:1212.0125},
  year   = {2012}
}

Comments

part of my Ph.D. thesis, 29 pages, comments welcome