English

Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

Algebraic Geometry 2018-05-03 v2

Abstract

We study mirror symmetry of complete intersection Calabi-Yau manifolds which have birational automorphisms of infinite order. We observe that movable cones in birational geometry are transformed, under mirror symmetry, to the monodromy nilpotent cones which are naturally glued together.

Keywords

Cite

@article{arxiv.1707.08728,
  title  = {Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds},
  author = {Shinobu Hosono and Hiromichi Takagi},
  journal= {arXiv preprint arXiv:1707.08728},
  year   = {2018}
}