The j-invariant of a plane tropical cubic

JOURNAL OF ALGEBRA

卷:320

Article

关键词: Plane tropical curves;    Tropical j-invariant;    Toric surfaces;    Discriminant;   

DOI  :  10.1016/j.jalgebra.2008.08.018

来源: Elsevier

【 摘 要 】

In this paper, we prove that for a plane cubic over the field of Puiseux series, the negative of the generic valuation of the j-invariant is equal to the cycle length of the tropicalization of the curve, if there is a cycle at all. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free