Birationality and Landau-Ginzburg models
Algebraic Geometry
2017-08-23 v3 Mathematical Physics
math.MP
Abstract
We introduce a new technique for approaching birationality questions that arise in the mirror symmetry of complete intersections in toric varieties. As an application we answer affirmatively and conclusively the question of Batyrev-Nill (2008) about the birationality of Calabi-Yau families associated to multiple mirror nef-partitions. This completes the progress in this direction made by Li's breakthrough (2016). In the process, we obtain results in the theory of Borisov's nef-partitions (1993) and provide new insight on the geometric content of the multiple mirror phenomenon.
Keywords
Cite
@article{arxiv.1608.07917,
title = {Birationality and Landau-Ginzburg models},
author = {Patrick Clarke},
journal= {arXiv preprint arXiv:1608.07917},
year = {2017}
}
Comments
Accepted for publication in Communications in Mathematical Physics