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
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