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Keywords = reflexive polytope

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13 pages, 375 KiB  
Article
Mirror Symmetry and Polar Duality of Polytopes
by David A. Cox
Symmetry 2015, 7(3), 1633-1645; https://doi.org/10.3390/sym7031633 - 10 Sep 2015
Cited by 6 | Viewed by 7990
Abstract
This expository article explores the connection between the polar duality from polyhedral geometry and mirror symmetry from mathematical physics and algebraic geometry. Topics discussed include duality of polytopes and cones as well as the famous quintic threefold and the toric variety of a [...] Read more.
This expository article explores the connection between the polar duality from polyhedral geometry and mirror symmetry from mathematical physics and algebraic geometry. Topics discussed include duality of polytopes and cones as well as the famous quintic threefold and the toric variety of a reflexive polytope. Full article
(This article belongs to the Special Issue Symmetry and Duality)
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