The Chow Ring of a Fulton-MacPherson Compactification

被引：0

作者：

Petersen, Dan ^{[1
]}

机构：

[1] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen O, Denmark

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2017年 / 66卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

CURVES; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a short proof of a presentation of the Chow ring of the Fulton-MacPherson compactification of n points on an algebraic variety. The result can be found already in Fulton and MacPherson's original paper. However, there is an error in one of the lemmas used in their proof. In the process we also determine the Chow rings of weighted Fulton-MacPherson compactifications.

引用

页码：195 / 202

页数：8

共 6 条

[1] A COMPACTIFICATION OF CONFIGURATION-SPACES [J].

FULTON, W ;

MACPHERSON, R .

ANNALS OF MATHEMATICS, 1994, 139 (01) :183-225

[2] Moduli spaces of weighted pointed stable curves [J].

Hassett, B .

ADVANCES IN MATHEMATICS, 2003, 173 (02) :316-352

[3] INTERSECTION THEORY OF MODULI SPACE OF STABLE N-POINTED CURVES OF GENUS ZERO [J].

KEEL, S .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (02) :545-574

[4]

Li L, 2009, MICH MATH J, V58, P415

[5] Poincare Duality of Wonderful Compactifications and Tautological Rings [J].

Petersen, Dan .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (17) :5187-5201

[6]

Routis E., 2014, ARXIV14112955

← 1 →