Mathematics – Algebraic Geometry
Scientific paper
2003-01-23
Mathematics
Algebraic Geometry
26 pages, LaTeX
Scientific paper
Consider the Fulton-MacPherson configuration space of $n$ points on $\P^1$, which is isomorphic to a certain moduli space of stable maps to $\P^1$. 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 $n\ge 3$.
Hassett Brendan
Tschinkel Yuri
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