A combinatorial description of dual defects of toric varieties

Katsuhisa Furukawa; Atsushi Ito

doi:10.1142/S0219199720500017

A combinatorial description of dual defects of toric varieties

Katsuhisa Furukawa, Atsushi Ito

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

3 Citations (Scopus)

Abstract

From a finite set in a lattice, we can define a toric variety embedded in a projective space. In this paper, we give a combinatorial description of the dual defect of the toric variety using the structure of the finite set as a Cayley sum with suitable conditions. We also interpret the description geometrically.

Original language	English
Article number	2050001
Journal	Communications in Contemporary Mathematics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1142/S0219199720500017
Publication status	Published - Feb 1 2021
Externally published	Yes

Keywords

Cayley sum
Toric variety
dual defect

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1142/S0219199720500017

Cite this

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A combinatorial description of dual defects of toric varieties

Abstract

Keywords

ASJC Scopus subject areas

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