Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 147, Pages 84–119 (Mi into295)  
This article is cited in 1 scientific paper (total in 1 paper)

Multiple Flag Varieties

E. Yu. Smirnovab

a National Research University Higher School of Economics, Moscow
b Independent University of Moscow
Full-text PDF (440 kB) Citations (1) English version article
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Abstract: This paper is a review of results on multiple flag varieties, i.e., varieties of the form $G/P_1\times\dots\times G/P_r$. We provide a classification of multiple flag varieties of complexity $0$ and $1$ and results on the combinatorics and geometry of $B$-orbits and their closures in double cominuscule flag varieties. We also discuss questions of finiteness for the number of $G$-orbits and existence of an open $G$-orbits on a multiple flag variety.
Keywords: flag varieties, spherical varieties.
Funding agency Grant number
Russian Science Foundation 14-11-00414
This work was prepared at the Steklov Institute of Mathematics and was partially supported by the Russian Science Foundation (project No. 14-11-00414).
English version:
Journal of Mathematical Sciences, 2020, Volume 248, Issue 3, Pages 338–373
DOI: https://doi.org/10.1007/s10958-020-04875-1
Bibliographic databases:
Document Type: Article
UDC: 512.74
MSC: 14M17, 14M15
Language: Russian
Citation: E. Yu. Smirnov, “Multiple Flag Varieties”, Proceedings of the Seminar on algebra and geometry of the Samara University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 147, VINITI, Moscow, 2018, 84–119; Journal of Mathematical Sciences, 248:3 (2020), 338–373
Citation in format AMSBIB
\Bibitem{Smi18}
\by E.~Yu.~Smirnov
\paper Multiple Flag Varieties
\inbook Proceedings of the Seminar on algebra and geometry of the Samara University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 147
\pages 84--119
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into295}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3824406}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 248
\issue 3
\pages 338--373
\crossref{https://doi.org/10.1007/s10958-020-04875-1}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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