Corpus ID: 119156554

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

@article{Thomsen1997IrreducibilityO,
title={Irreducibility of \bar\{M\}\_\{0,n\}(G/P,\beta)},
author={Jesper Funch Thomsen},
journal={arXiv: Algebraic Geometry},
year={1997}
}
• J. Thomsen
• Published 1997
• Mathematics
• arXiv: Algebraic Geometry
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.
1 Citations
On the irreducibility of the space of genus zero stable log maps to wonderful compactifications
• Mathematics
• 2014
In this paper, we prove the moduli spaces of genus zero stable log maps to a large class of wonderful compactifications are irreducible and unirational.

#### References

Representations of algebraic groups
Part I. General theory: Schemes Group schemes and representations Induction and injective modules Cohomology Quotients and associated sheaves Factor groups Algebras of distributions RepresentationsExpand