English

On the moduli of Kahler-Einstein Fano manifolds

Algebraic Geometry 2014-07-01 v4 Differential Geometry

Abstract

We prove that Kahler-Einstein Fano manifolds with finite automorphism groups form Hausdorff moduli algebraic space with only quotient singularities. We also discuss the limits as Q-Fano varieties which should be put on the boundary of its canonical compactification.

Keywords

Cite

@article{arxiv.1211.4833,
  title  = {On the moduli of Kahler-Einstein Fano manifolds},
  author = {Yuji Odaka},
  journal= {arXiv preprint arXiv:1211.4833},
  year   = {2014}
}

Comments

15 pages. Final version appeared in Proceeding of Kinosaki algebraic geometry symposium 2013. (I am sorry for late upload)