The Chow Ring of the Non-Linear Grassmannian
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
Let M_{P^k}(P^r, d) be the moduli space of unparameterized maps \mu:P^k -> P^r satisfying \mu^*(O(1))= O(d). M_{P^k}(P^r,d) is a quasi-projective variety, and, in case k=1, M_{P^1}(P^r,d) is the fundamental open cell of Kontsevich's space of stable maps \bar{M}_{0,0}(P^r,d). It is shown that the Q-coefficient Chow ring of M_{P^k}(P^r,d) is canonically isomorphic to the Chow ring of the Grassmannian Gr(P^k, P^r)= M_{P^k}(P^r,1).
Cite
@article{arxiv.alg-geom/9604022,
title = {The Chow Ring of the Non-Linear Grassmannian},
author = {R. Pandharipande},
journal= {arXiv preprint arXiv:alg-geom/9604022},
year = {2008}
}
Comments
17 pages, AMSLatex