A combinatorial description of dual defects of toric varieties

Katsuhisa Furukawa, Atsushi Ito

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number2050001
JournalCommunications in Contemporary Mathematics
Issue number1
Publication statusPublished - Feb 1 2021
Externally publishedYes


  • Cayley sum
  • Toric variety
  • dual defect

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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