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arXiv · 1608.07917

Birationality and Landau-Ginzburg models

Patrick Clarke
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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.

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Patrick Clarke. 2016-08-29. Birationality and Landau-Ginzburg models. https://doi.org/10.1007/s00220-017-2830-0

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