Terminal Quotient Singularities in Dimension three via variation of GIT

Seung-Jo Jung

Terminal Quotient Singularities in Dimension three via variation of GIT

Algebraic Geometry 2015-02-13 v1

Authors: Seung-Jo Jung

Abstract

A 3-fold terminal quotient singularity X=C^3/G admits the economic resolution Y-> X, which is "close to being crepant". This paper proves that the economic resolution Y is isomorphic to a distinguished component of a moduli space of certain G-equivariant objects using the the King stability condition $\theta$ introduced by K\k{e}dzierski.

Keywords

terminal quotient singularity threefold economic resolution GIT variation moduli space King stability condition

Cite

@article{arxiv.1502.03579,
  title  = {Terminal Quotient Singularities in Dimension three via variation of GIT},
  author = {Seung-Jo Jung},
  journal= {arXiv preprint arXiv:1502.03579},
  year   = {2015}
}

Comments

Comments are welcome. 37 pages, 6 figures

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