English

Divisors on the moduli spaces of stable maps to flag varieties and reconstruction

Algebraic Geometry 2007-05-23 v2

Abstract

We determine generators for the codimension 1 Chow group of the moduli spaces of genus zero stable maps to flag varieties G/P. In the case of SL flags, we find all relations between our generators, showing that they essentially come from Mˉ0,n\bar M_{0,n}. In addition, we analyze the codimension 2 classes on the moduli spaces of stable maps to Grassmannians and prove a new codimension 2 relation. This will lead to a partial reconstruction theorem for the Grassmannian of 2 planes.

Keywords

Cite

@article{arxiv.math/0404285,
  title  = {Divisors on the moduli spaces of stable maps to flag varieties and reconstruction},
  author = {Dragos Oprea},
  journal= {arXiv preprint arXiv:math/0404285},
  year   = {2007}
}