Irreducibility of M0,n(G/P,β)

Abstract

Let G be a linear algebraic group, P be a parabolic subgroup of G and β be a cycle of dimension 1 in the Chow group of the quotient G/P. Using geometric arguments and Borel's fixed point theorem, we prove that the moduli space M0,n(G/P, β) of n-pointed genus 0 stable maps representing β is irreducible.

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