English

Stable vector bundles on the families of curves

Algebraic Geometry 2020-10-07 v1 Differential Geometry

Abstract

We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a families of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

Keywords

Cite

@article{arxiv.2010.02839,
  title  = {Stable vector bundles on the families of curves},
  author = {Fedor Bogomolov and Elena Lukzen},
  journal= {arXiv preprint arXiv:2010.02839},
  year   = {2020}
}

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11 pages