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Journal article
Birationality and Landau-Ginzburg Models
Communications in mathematical physics, v 353(3), pp 1241-1260
01 Aug 2017
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 (Integer points in polyhedra-geometry, number theory, representation theory, algebra, optimization, statistics, volume 452 of Contemporary mathematics. American Mathematical Society, Providence, pp 35-66, 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 (Li in Adv Math 299: 71-107, 2016). In the process, we obtain results in the theory of Borisov's nef-partitions (Borisov in Towards the mirror symmetry for Calabi-Yau complete intersections in Gorenstein toric Fano varieties, 1993. arXiv: alg-geom/9310001) and provide new insight into the geometric content of the multiple mirror phenomenon.
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Details
- Title
- Birationality and Landau-Ginzburg Models
- Creators
- Patrick Clarke - Drexel University
- Publication Details
- Communications in mathematical physics, v 353(3), pp 1241-1260
- Publisher
- Springer Nature
- Number of pages
- 20
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000401839100010
- Scopus ID
- 2-s2.0-85011796897
- Other Identifier
- 991019168077304721
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- Web of Science research areas
- Physics, Mathematical