Irreducibility of \bar{M}_{0,n}(G/P,β)

Details Irreducibility of \bar{M}_{0,n}(G/P,β) Irreducibility of \bar{M}_{0,n}(G/P,β)

1997-07-09

arxiv.org/abs/alg-geom/9707005v1

Mathematics

Algebraic Geometry

8 pages, AmsLaTeX

Scientific paper

Let G be a linear algebraic group, P be a parabolic subgroup of G and \beta
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 \bar{M}_{0,n}(G/P, \beta) of n-pointed genus 0 stable maps representing
\beta is irreducible.

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