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

[31] Birational Geometry of the Moduli Space of Rank 2 Parabolic Vector Bundles on a Rational Curve
Moon, Han-Bom
Yoo, Sang-Bum
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (03) : 827 - 859
[32] On the motive of moduli spaces of rank two vector bundles over a curve
del Baño, S
COMPOSITIO MATHEMATICA, 2002, 131 (01) : 1 - 30
[33] IRREDUCIBILITY OF MODULI OF RANK-2 VECTOR-BUNDLES ON ALGEBRAIC-SURFACES
GIESEKER, D
LI, J
JOURNAL OF DIFFERENTIAL GEOMETRY, 1994, 40 (01) : 23 - 104
[34] HILBERT POLYNOMIALS OF MODULI SPACES OF RANK-2 - VECTOR BUNDLES-I
SZENES, A
TOPOLOGY, 1993, 32 (03) : 587 - 597
[35] HILBERT POLYNOMIALS OF MODULI SPACES OF RANK-2 - VECTOR BUNDLES-II
BERTRAM, A
SZENES, A
TOPOLOGY, 1993, 32 (03) : 599 - 609
[36] MODULI SPACES OF SEMISTABLE RANK-2 CO-HIGGS BUNDLES OVER P1 x P1
Colmenares, Alejandra Vicente
QUARTERLY JOURNAL OF MATHEMATICS, 2017, 68 (04): : 1139 - 1162
[37] Automorphism group of a moduli space of framed bundles over a curve
Alfaya, David
Biswas, Indranil
GEOMETRIAE DEDICATA, 2021, 211 (01) : 71 - 104
[38] Automorphism group of a moduli space of framed bundles over a curve
David Alfaya
Indranil Biswas
Geometriae Dedicata, 2021, 211 : 71 - 104
[39] Automorphism group of the moduli space of parabolic bundles over a curve
Alfaya, David
Gomez, Tomas L.
ADVANCES IN MATHEMATICS, 2021, 393
[40] Stable rank-2 vector bundles over ruled surfaces
Aprodu, M.
Brinzanescu, V.
Comptes Rendus De L'Academie Des Sciences. Serie I, Mathematique, 325 (03):

← 1 2 3 4 5 →