Combinatorics and quotients of toric varieties

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)151-174
Number of pages24
JournalDiscrete and Computational Geometry
Volume28
Issue number2
DOIs
StatePublished - 2002

Fingerprint

Toric Varieties
Combinatorics
Cones
Quotient
Cone
Linear Projection
Polytopes
Fans
Correspondence
Strings
Generalise
Geometry
Object

ASJC Scopus subject areas

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

Cite this

Combinatorics and quotients of toric varieties. / Hu, Yi.

In: Discrete and Computational Geometry, Vol. 28, No. 2, 2002, p. 151-174.

Research output: Contribution to journalArticle

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