Over a smooth complex projective curve of genus ≥3, we study 1-cycles on the moduli space of rank-2 stable vector bundles with fixed determinant of degree 1. We show the first Chow group of the moduli space is isomorphic to the zeroth Chow group of the curve.
Nous étudions les 1-cycles des espaces de module de fibrés vectoriels de rang 2 et déterminant de degré 1 fixé, sur une courbe complexe, projective, lisse, de genre ≥3. Nous montrons que le groupe de Chow d'indice 1 des espaces de module est isomorphe au groupe de Chow d'indice 0 de la courbe.
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Duo Li 1; Yinbang Lin 1; Xuanyu Pan 2
@article{CRMATH_2019__357_2_209_0, author = {Duo Li and Yinbang Lin and Xuanyu Pan}, title = {A note on 1-cycles on the moduli space of rank-2 bundles over a curve}, journal = {Comptes Rendus. Math\'ematique}, pages = {209--211}, publisher = {Elsevier}, volume = {357}, number = {2}, year = {2019}, doi = {10.1016/j.crma.2018.12.003}, language = {en}, }
Duo Li; Yinbang Lin; Xuanyu Pan. A note on 1-cycles on the moduli space of rank-2 bundles over a curve. Comptes Rendus. Mathématique, Volume 357 (2019) no. 2, pp. 209-211. doi : 10.1016/j.crma.2018.12.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.12.003/
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