Integral points and effective cones of moduli spaces of stable maps

Brendan Hassett; Yuri Tschinkel

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arXiv · math/0301272

Integral points and effective cones of moduli spaces of stable maps

Brendan Hassett·Yuri Tschinkel

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Abstract

Consider the Fulton-MacPherson configuration space of $n$ points on $¶^1$, which is isomorphic to a certain moduli space of stable maps to $¶^1$. We compute the cone of effective ${\mathfrak S}_n$-invariant divisors on this space. This yields a geometric interpretation of known asymptotic formulas for the number of integral points of bounded height on compactifications of $\SL_2$ in the space of binary forms of degree $n\ge 3$.

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Brendan Hassett, Yuri Tschinkel. 2003-01-23. Integral points and effective cones of moduli spaces of stable maps. https://arxiv.org/abs/math/0301272

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