The Chow ring of the moduli space of bundles on $\mathbb{P}^2$ with charge 1
Kamiyama, Yasuhiko ; Tezuka, Michishige
J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 565-577 / Harvested from Project Euclid
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For an algebraically closed field $K$ with $\mathrm{ch}(K)\neq 2$, let $\mathcal{O}M(1, SO(n,K))$ denote the moduli space of holomorphic bundles on $\mathbb{P}^{2}$ with the structure group $SO(n,K)$ and half the first Pontryagin index being equal to 1, each of which is trivial on a fixed line $l_{\infty}$ and has a fixed holomorphic trivialization there. In this paper we determine the Chow ring of $\mathcal{O}M(1, SO(n,K))$.
Publié le : 2007-05-15
Classification:  14C15,  14J60 
@article{1250281024,
     author = {Kamiyama, Yasuhiko and Tezuka, Michishige},
     title = {The Chow ring of the moduli space of bundles on $\mathbb{P}^2$ with charge 1},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 565-577},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281024}
}

Kamiyama, Yasuhiko; Tezuka, Michishige. The Chow ring of the moduli space of bundles on $\mathbb{P}^2$ with charge 1. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  565-577. http://gdmltest.u-ga.fr/item/1250281024/