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

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

2004-04-16

arxiv.org/abs/math/0404285v2

Mathematics

Algebraic Geometry

Scientific paper

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 $\bar M_{0,n}$. 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.

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