Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
Tuesday 5
Eric Fusy
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
A combinatorial analysis of Severi degrees
Fu Liu  1  
1 : University of California, Davis, CA, USA

Based on results by Brugall´e and Mikhalkin, Fomin and Mikhalkin give formulas for computing classical
Severi degrees Nd; using long-edge graphs. In 2012, Block, Colley and Kennedy considered the logarithmic version
of a special function associated to long-edge graphs which appeared in Fomin-Mikhalkin's formula, and conjectured
it to be linear. They have since proved their conjecture. At the same time, motivated by their conjecture, we consider
a special multivariate function associated to long-edge graphs that generalizes their function. The main result of this
paper is that the multivariate function we define is always linear.

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