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arXiv · 0808.3452

Tropical enumerative invariants of F_0 and F_2

Marina Franz·Hannah Markwig
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Abstract

There is an equation relating numbers of curves on F_0 satisfying incidence conditions and numbers of curves on F_2 satisfying incidence conditions. The purpose of this paper is to give a tropical proof of this equation in the case of rational curves. We use induction on the degree and two Kontsevich-type formulas for curves on F_0 and on F_2. The formula for F_2 was not known before and is proved using tropical geometry.

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Marina Franz, Hannah Markwig. 2011-06-20. Tropical enumerative invariants of F_0 and F_2. https://arxiv.org/abs/0808.3452

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