English

Alpha invariants of birationally rigid Fano threefolds

Algebraic Geometry 2016-04-04 v1

Abstract

We compute global log canonical thresholds, or equivalently alpha invariants, of birationally rigid orbifold Fano threefolds embedded in weighted projective spaces as codimension two or three. As an important application, we prove that most of them are weakly exceptional, KK-stable and admit K\"{a}hler--Einstien metric.

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Cite

@article{arxiv.1604.00252,
  title  = {Alpha invariants of birationally rigid Fano threefolds},
  author = {In-Kyun Kim and Takuzo Okada and Joonyeong Won},
  journal= {arXiv preprint arXiv:1604.00252},
  year   = {2016}
}

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38 pages