Combinatorics and quotients of toric varieties

Yi Hu

doi:10.1007/s00454-002-2757-9

Combinatorics and quotients of toric varieties

Yi Hu

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

For linear projections of polytopes and fans of cones we introduce some new objects such as: virtual chambers, virtual cones and (locally) coherent costrings. Virtual chambers (cones) generalize real chambers (cones), while (locally) coherent costrings are linear dual to (locally) coherent strings. We establish various correspondences for these objects and their connections to toric geometry.

Original language	English (US)
Pages (from-to)	151-174
Number of pages	24
Journal	Discrete and Computational Geometry
Volume	28
Issue number	2
DOIs	https://doi.org/10.1007/s00454-002-2757-9
State	Published - Sep 2002

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1007/s00454-002-2757-9

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abstract = "For linear projections of polytopes and fans of cones we introduce some new objects such as: virtual chambers, virtual cones and (locally) coherent costrings. Virtual chambers (cones) generalize real chambers (cones), while (locally) coherent costrings are linear dual to (locally) coherent strings. We establish various correspondences for these objects and their connections to toric geometry.",

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AB - For linear projections of polytopes and fans of cones we introduce some new objects such as: virtual chambers, virtual cones and (locally) coherent costrings. Virtual chambers (cones) generalize real chambers (cones), while (locally) coherent costrings are linear dual to (locally) coherent strings. We establish various correspondences for these objects and their connections to toric geometry.

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Combinatorics and quotients of toric varieties

Abstract

ASJC Scopus subject areas

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