Computing Severi degrees with long-edge graphs

Abstract

We study a class of graphswith finitelymany edges in order to understand the nature of the formal logarithm of the generating series for Severi degrees in elementary combinatorial terms. These graphs are related to floor diagrams associated to plane tropical curves originally developed in [2] and used in [1] and [4] to calculate Severi degrees of ℙ2 and node polynomials of plane curves.

Publisher

Springer Berlin Heidelberg

Publication Date

12-1-2014

Publication Title

Bulletin of Brazilian Mathematical Society

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.1007/s00574-014-0066-6

Keywords

Floor diagram, Node polynomial, Severi degree, Tropical plane curve, Primary: 14N10, Secondary: 14T05, 14N35, 05A99

Language

English

Format

text

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