English

The Kuranishi map for vector bundles on certain products of curves

Algebraic Geometry 2023-11-14 v3 Algebraic Topology

Abstract

We describe deformations of vector bundles on surfaces that are a product of two smooth projective curves. We explicitly describe the Kuranishi map around unstable vector bundles and compare the homologies of the Kuranishi spaces of stable and unstable deformations.

Keywords

Cite

@article{arxiv.2006.04965,
  title  = {The Kuranishi map for vector bundles on certain products of curves},
  author = {Edoardo Ballico and Elizabeth Gasparim and Francisco Rubilar and Bruno Suzuki},
  journal= {arXiv preprint arXiv:2006.04965},
  year   = {2023}
}

Comments

The previous version was written in the language of stacks. All references to stacks have been prohibited by the referee in the final version