Birationality of mirror models for Fano toric complete intersections. Issue 5 (4th May 2021)

• Record Type: Journal Article
• Authors: Prince, Thomas
• Is Part Of: Bulletin of the London Mathematical Society. Volume 53:Issue 5(2021)
• Page Start: 1390
• Page End: 1406
• Publication Date: 2021-05-04
• Subjects: 14J33 (primary) -- 14J45 -- 14M25 (secondary); Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12505
• Languages: English
• ISSNs: 0024-6093

Abstract

Abstract: Given a Fano complete intersection defined by sections of a collection nef line bundles L 1, …, L c on a Fano toric manifold Y, a construction of Givental/Hori–Vafa provides a mirror‐dual Landau–Ginzburg model. This construction depends on a choice of suitable nef partition; that is, a partition of the rays of the fan determined by Y . We show that Landau–Ginzburg models constructed from different nef partitions representing the same complete intersection are related by a volume preserving birational map. In particular, various Laurent polynomial mirrors which may be obtained from these Landau–Ginzburg models are mutation equivalent.