Corpus ID: 11335151

Coherent systems and modular subvarieties of SU_C(r)

  title={Coherent systems and modular subvarieties of SU\_C(r)},
  author={M. Bolognesi and S. Brivio},
Let C be an algebraic smooth complex curve of genus g > 1. The object of this paper is the study of the birational structure of certain moduli spaces of vector bundles and of coherent systems on C and the comparison of different type of notions of stability arising in moduli theory. Notably we show that in certain cases these moduli spaces are birationally equivalent to fibrations over simple projective varieties, whose fibers are GIT quotients (P)//PGL(r), where r is the rank of the considered… Expand