Integral points and effective cones of moduli spaces of stable maps

2003/01/23 by Brendan Hassett, Yuri Tschinkel, Hassett, Brendan +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.math/0301272

26 pages, LaTeX

arxiv created 2003/01/23 · arxiv updated 2009/11/30

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 \SL₂ in the space of binary forms of degree n≥ 3.

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