Laurent inversion

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Title: Laurent inversion
Authors: Coates, T
Kasprzyk, A
Prince, T
Item Type: Working Paper
Abstract: There are well-understood methods, going back to Givental and Hori--Vafa, that to a Fano toric complete intersection X associate a Laurent polynomial f that corresponds to X under mirror symmetry. We describe a technique for inverting this process, constructing the toric complete intersection X directly from its Laurent polynomial mirror f. We use this technique to construct a new four-dimensional Fano manifold.
Copyright Statement: © 2015 The Authors
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 240123
Keywords: Algebriac geometry
14J33 (Primary), 14J45, 52B20 (Secondary)
Notes: 14 pages. v2: error corrected, added nice observation due to C. Casagrande
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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