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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2008 Volume 199, Number 3, Pages 25–44 (Mi sm3833)

This article is cited in 2 papers

Variation of Mumford quotients by torus actions on full flag varieties. II

V. S. Zhgoon

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper continues the study of the variation of the Mumford quotient by the action of a maximal torus $T$ on a flag variety $G/B$ in terms of its dependence on the projective embedding $G/B\hookrightarrow\mathbb P(V(\chi))$. In the case when $G$ is of type $A_l$, the Picard group of the quotient $(G/B)^{ss}/\!/T$ is calculated under the assumption that the $T$-linearization comes from the standard $G$-linearization.
Bibliography : 12 titles.

UDC: 512.745.2

MSC: Primary 14L30; Secondary 14M15

Received: 23.01.2007

DOI: 10.4213/sm3833


 English version:
Sbornik: Mathematics, 2008, 199:3, 341–359

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