CHERN CLASSES OF SCHUBERT CELLS AND VARIETIES

被引：27

作者：

Aluffi, Paolo ^{[1
]}

Mihalcea, Leonardo Constantin ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2009年 / 18卷 / 01期

关键词：

SCHWARTZ-MACPHERSON CLASSES; ANALYTIQUE COMPLEXE; SINGULAR-VARIETIES;

D O I：

10.1090/S1056-3911-08-00482-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give explicit. formulas; for the Chern-Schwartz-MacPherson classes of all Schubert varieties in the Grassmannian of d-planes in a vector space, and conjecture that these classes are effective. We prove this is the case for d <= 2.

引用

页码：63 / 100

页数：38

共 14 条

[1] Chern classes for singular varieties, revisited. [J].

Aluffi, P .

COMPTES RENDUS MATHEMATIQUE, 2006, 342 (06) :405-410

[2] Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties [J].

Aluffi, P .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (07) :619-624

[3]

Aluffi P, 2006, PURE APPL MATH Q, V2, P915

[4]

[Anonymous], 1999, SEM LOTHAR COMBIN

[5]

Demazure M., 1974, Ann. Sci. cole Norm. Sup, V7, P53, DOI DOI 10.24033/ASENS.1261

[6]

Fulton William, 2013, Intersection Theory

[7] Chern classes of automorphic vector bundles [J].

Goresky, M ;

Pardon, W .

INVENTIONES MATHEMATICAE, 2002, 147 (03) :561-612

[8] Advanced determinant calculus: A complement [J].

Krattenthaler, C .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 411 :68-166

[9]

MIHALCEA LC, ARXIVMATHCO0702566

[10] CHERN-SCHWARTZ-MACPHERSON CLASSES AND THE EULER CHARACTERISTIC OF DEGENERACY LOCI AND SPECIAL DIVISORS [J].

PARUSINSKI, A ;

PRAGACZ, P .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 8 (04) :793-817

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