Toric degenerations of toric varieties and tropical curves

Takeo Nishinou, Bernd Siebert

Research output: Contribution to journalArticlepeer-review

97 Citations (Scopus)

Abstract

We show that the counting of rational curves on a complete toric variety which are in general position relative to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory.

Original languageEnglish
Pages (from-to)1-52
Number of pages52
JournalDuke Mathematical Journal
Volume135
Issue number1
DOIs
Publication statusPublished - 2006 Oct 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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