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Batyrev Mirror Symmetry

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Title: Batyrev Mirror Symmetry
Authors: Talpo, M
Item Type: Chapter
Abstract: We describe Batyrev’s construction of the mirror to a family of Calabi–Yau hypersurfaces in a Fano toric variety, based on polar duality for lattice polytopes. We revisit the example of the quintic threefold in this language, and briefly mention connections with later developments, such as the Batyrev–Borisov construction for complete intersections in Fano toric varieties, and the Gross–Siebert program.
Editors: Ballard, M
Doran, C
Favero, D
Sharpe, E
Issue Date: 22-Aug-2018
URI: http://hdl.handle.net/10044/1/71509
DOI: https://doi.org/10.1007/978-3-319-91626-2_9
Journal / Book Title: Superschool on Derived Categories and D-branes
Copyright Statement: © Springer International Publishing AG, part of Springer Nature 2018
Online Publication Date: 2018-08-22
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences