Integration over tropical plane curves and ultradiscretization

Shinsuke Iwao

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this article we study holomorphic integrals on tropical plane curves in view of ultradiscretization. We prove that the lattice integrals over tropical curves can be obtained as a certain limit of complex integrals over Riemann surfaces.

Original languageEnglish
Pages (from-to)112-148
Number of pages37
JournalInternational Mathematics Research Notices
Volume2010
Issue number1
DOIs
Publication statusPublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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