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Abstract: There is an equation relating numbers of curves on F 0 satisfying incidenceconditions and numbers of curves on F 2 satisfying incidence conditions. Thepurpose of this paper is to give a tropical proof of this equation in the caseof rational curves. We use induction on the degree and two Kontsevich-typeformulas for curves on F 0 and on F 2. The formula for F 2 was not known beforeand is proved using tropical geometry.



Autor: Marina Franz, Hannah Markwig

Fuente: https://arxiv.org/







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