A note on 1-cycles on the moduli space of rank-2 bundles over a curve

被引：1

作者：

Li, Duo ^{[1
]}

Lin, Yinbang ^{[1
]}

Pan, Xuanyu ^{[2
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 02期

基金：

中国博士后科学基金;

关键词：

VECTOR-BUNDLES;

D O I：

10.1016/j.crma.2018.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

下载

页码：209 / 211

页数：3

共 50 条

[1] Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve
Choe, I
Hwang, JM
MATHEMATISCHE ZEITSCHRIFT, 2006, 253 (02) : 281 - 293
[2] Chow group of 1-cycles on the moduli space of vector bundles of rank 2 over a curve
Insong Choe
Jun-Muk Hwang
Mathematische Zeitschrift, 2006, 253 : 281 - 293
[3] Chow group of 1-cycles of the moduli of parabolic bundles over a curve
Sujoy Chakraborty
Proceedings - Mathematical Sciences, 2021, 131
[4] Chow group of 1-cycles of the moduli of parabolic bundles over a curve
Chakraborty, Sujoy
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
[5] Desingularizations of the moduli space of rank 2 bundles over a curve
Young-Hoon Kiem
Jun Li
Mathematische Annalen, 2004, 330 : 491 - 518
[6] Desingularizations of the moduli space of rank 2 bundles over a curve
Kiem, YH
Li, J
MATHEMATISCHE ANNALEN, 2004, 330 (03) : 491 - 518
[7] SPACE OF MODULI OF RANK-2 VECTOR-BUNDLES
LASZLO, Y
MATHEMATISCHE ANNALEN, 1994, 299 (04) : 597 - 608
[8] A Desingularization of the Moduli Space of Rank 2 Higgs Bundles over a Curve
Yoo, Sang-Bum
TAIWANESE JOURNAL OF MATHEMATICS, 2021, 25 (02): : 257 - 301
[9] The wobbly divisors of the moduli space of rank-2 vector bundles
Pal, Sarbeswar
Pauly, Christian
ADVANCES IN GEOMETRY, 2021, 21 (04) : 473 - 482
[10] Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve
Hwang, JM
DUKE MATHEMATICAL JOURNAL, 2000, 101 (01) : 179 - 187

← 1 2 3 4 5 →