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Comptes Rendus Mathématique
Volume 357, n° 2
pages 209-211 (février 2019)
Doi : 10.1016/j.crma.2018.12.003
Received : 28 October 2018 ;  accepted : 10 December 2018
A note on 1-cycles on the moduli space of rank-2 bundles over a curve
Une note sur les 1-cycles des espaces de module des fibrés vectoriels de rang 2 sur une courbe
 

Duo Li a , Yinbang Lin a , Xuanyu Pan b
a Yau Mathematical Sciences Center, Tsinghua University, China 
b Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.

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