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

Dragos Oprea
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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 $\bar M_{0,n}$. 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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Dragos Oprea. 2004-10-26. Divisors on the moduli spaces of stable maps to flag varieties and reconstruction. https://arxiv.org/abs/math/0404285

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