English

Infinitesimal deformations of some quot schemes, II

Algebraic Geometry 2024-09-11 v1

Abstract

Let CC be an irreducible smooth complex projective curve of genus gg, with gC2g_C \geqslant 2. Let EE be a vector bundle on CC of rank rr, with r2r\geqslant 2. Let \mcQ:=\mcQ(E,d)\mc Q:=\mc Q(E,\,d) be the Quot Scheme parameterizing torsion quotients of EE of degree dd. We explicitly describe all deformations of \mcQ\mc Q.

Keywords

Cite

@article{arxiv.2409.06434,
  title  = {Infinitesimal deformations of some quot schemes, II},
  author = {Indranil Biswas and Chandranandan Gangopadhyay and Ronnie Sebastian},
  journal= {arXiv preprint arXiv:2409.06434},
  year   = {2024}
}

Comments

Final version; Revista Matem\'atica Complutense (to appear)