English

On a new compactification of moduli of vector bundles on a surface, IV: Nonreduced moduli

Algebraic Geometry 2015-05-30 v3 Mathematical Physics math.MP

Abstract

The construction for nonreduced projective moduli scheme of semistable admissible pairs is performed. We establish the relation of this moduli scheme with reduced moduli scheme built up in the previous article and prove that nonreduced moduli scheme contains an open subscheme which is isomorphic to moduli scheme of semistable vector bundles.

Keywords

Cite

@article{arxiv.1108.3789,
  title  = {On a new compactification of moduli of vector bundles on a surface, IV: Nonreduced moduli},
  author = {Nadezda V. Timofeeva},
  journal= {arXiv preprint arXiv:1108.3789},
  year   = {2015}
}

Comments

20 pages, additions and removals