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Sbornik: Mathematics, 2008, Volume 199, Issue 3, Pages 341–359
DOI: https://doi.org/10.1070/SM2008v199n03ABEH003923
(Mi sm3833)
 

This article is cited in 2 scientific papers (total 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
References:
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.
Received: 23.01.2007
Bibliographic databases:
UDC: 512.745.2
MSC: Primary 14L30; Secondary 14M15
Language: English
Original paper language: Russian
Citation: V. S. Zhgoon, “Variation of Mumford quotients by torus actions on full flag varieties. II”, Sb. Math., 199:3 (2008), 341–359
Citation in format AMSBIB
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\paper Variation of Mumford quotients by~torus actions on full
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\jour Sb. Math.
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\vol 199
\issue 3
\pages 341--359
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Linking options:
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  • https://doi.org/10.1070/SM2008v199n03ABEH003923
  • https://www.mathnet.ru/eng/sm/v199/i3/p25
    Cycle of papers
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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