한국수학사학회지 (Journal for History of Mathematics)

한국수학사학회 (The Korean Society for History of Mathematics)
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Enumerate tropical algebraic curves

  • Kim, Young Rock (Major in Mathematics Education, Graduate School of Education, Hankuk University of Foreign Studies) ;
  • Shin, Yong-Su (Dept. of Math., Sungshin Women's Univ.)
  • 투고 : 2017.01.07
  • 심사 : 2017.06.20
  • 발행 : 2017.06.30
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초록

In tropical geometry, the sum of two numbers is defined as the minimum, and the multiplication as the sum. As a way to build tropical plane curves, we could use Newton polygons or amoebas. We study one method to convert the representation of an algebraic variety from an image of a rational map to the zero set of some multivariate polynomials. Mikhalkin proved that complex curves can be replaced by tropical curves, and induced a combination formula which counts the number of tropical curves in complex projective plane. In this paper, we present close examinations of this particular combination formula.

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과제정보

연구 과제 주관 기관 : Sungshin Women’s University

참고문헌

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