Vanishing of Chern classes of the de Rham bundles for some families of moduli spaces

被引：1

作者：

Biswas, Indranil

Iyer, Jaya Nn

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 05期

关键词：

Chow group; connection; Hilbert scheme;

D O I：

10.1080/00927870601168988

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a family of nonsingular complex projective surfaces, there is a corresponding family of Hilbert schemes of zero dimensional subschemes. We prove that the Chern classes, with values in the rational Chow groups, of the de Rham bundles for such a family of Hilbert schemes vanish. A similar result is proved for any relative moduli space of rank one sheaves with trivial integral first Chern class over any family of complex projective surfaces.

引用

页码：1525 / 1531

页数：7

共 40 条

[31] The chiral de rham complex and positivity of the equivariant signatures of some loop spaces
V. Gorbounov
F. Malikov
[J]. manuscripta mathematica, 2004, 113 : 359 - 370
[32] The chiral de rham complex and positivity of the equivariant signatures of some loop spaces
Gorbounov, V
Malikov, F
[J]. MANUSCRIPTA MATHEMATICA, 2004, 113 (03) : 359 - 370
[33] STABLE RATIONALITY OF SOME MODULI SPACES OF VECTOR-BUNDLES ON P-2
MARUYAMA, M
[J]. LECTURE NOTES IN MATHEMATICS, 1986, 1194 : 80 - 89
[34] CHARACTERISTIC CLASSES OF SOME HIGHER ORDER TANGENT BUNDLES OF COMPLEX PROJECTIVE SPACES
SUZUKI, H
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1966, 18 (04) : 386 - +
[35] TROPICAL CYCLE CLASSES FOR NON-ARCHIMEDEAN SPACES AND WEIGHT DECOMPOSITION OF DE RHAM COHOMOLOGY SHEAVES
Liu, Yifeng
[J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020, 53 (02): : 291 - 352
[36] ON SOME MODULI SPACES OF RANK-2 BUNDLES OVER K3 SURFACES
BALLICO, E
CHIANTINI
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1993, 7A (02): : 279 - 287
[37] CHERN CLASSES OF SEMI-STABLE VECTOR-SPACE BUNDLES OF RANK-3 IN COMPLEX-PROJECTIVE SPACES
SCHNEIDER, M
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1980, 315 : 211 - 220
[38] THE MODULI SPACES OF SOME RANK-2 STABLE VECTOR-BUNDLES OVER ALGEBRAIC K3-SURFACES
ZUO, K
[J]. DUKE MATHEMATICAL JOURNAL, 1991, 64 (02) : 403 - 408
[39] MODULAR SPACES OF STABLE 3-BUNDLES IN P-3 WITH THE CHERN CLASSES (1=0,C3=C-2(2)-C2
SPINDLER, H
[J]. MATHEMATISCHE ANNALEN, 1981, 256 (01) : 133 - 143
[40] Quantization of some moduli spaces of parabolic vector bundles on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb C}{\mathbb P}^1}$$\end{document}
Indranil Biswas
Carlos Florentino
José Mourão
João P. Nunes
[J]. Annals of Global Analysis and Geometry, 2013, 43 (2) : 161 - 176

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