Integral points and effective cones of moduli spaces of stable maps

Brendan Hassett; Yuri Tschinkel

doi:10.1215/S0012-7094-03-12033-5

Integral points and effective cones of moduli spaces of stable maps

Brendan Hassett, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Consider the Fulton-MacPherson configuration space of n points on ℙ¹, which is isomorphic to a certain moduli space of stable maps to ℙ¹. We compute the cone of effective script G sign _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.

Original language	English (US)
Pages (from-to)	577-579
Number of pages	3
Journal	Duke Mathematical Journal
Volume	120
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-03-12033-5
State	Published - Dec 1 2003

ASJC Scopus subject areas

General Mathematics

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10.1215/S0012-7094-03-12033-5

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Integral points and effective cones of moduli spaces of stable maps

Abstract

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