English

Automorphism group of Batyrev Calabi-Yau threefolds

Algebraic Geometry 2013-12-17 v2 Symplectic Geometry

Abstract

In this paper, we will prove that all Batyrev Calabi-Yau threefolds, arising from a small resolution of a generic hyperplane section of a reflexive Fano-Gorenstein fourfold, have finite automorphism group. Together with Morrison conjecture, this suggests that Batyrev Calabi-Yau threefolds should have a polyhedral Kahler (ample) cone.

Keywords

Cite

@article{arxiv.1109.3238,
  title  = {Automorphism group of Batyrev Calabi-Yau threefolds},
  author = {Mohammad Farajzadeh Tehrani},
  journal= {arXiv preprint arXiv:1109.3238},
  year   = {2013}
}

Comments

Paper is re-written