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Projective Duality of Toric Manifolds and Defect Polytopes
Author(s) -
Di Rocco Sandra
Publication year - 2006
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1017/s0024611505015686
Subject(s) - polytope , mathematics , duality (order theory) , polytope model , invariant (physics) , combinatorics , class (philosophy) , projective test , pure mathematics , computer science , mathematical physics , artificial intelligence
Non‐singular toric embeddings with dual defect are classified. The associated polytopes, called defect polytopes, are proven to be the class of Delzant integral polytopes for which a combinatorial invariant vanishes. The structure of a defect polytope is described. 2000 Mathematics Subject Classification 14M25, 52B20, 05A18.