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Sbornik: Mathematics, 2004, Volume 195, Issue 6, Pages 765–782
DOI: https://doi.org/10.1070/SM2004v195n06ABEH000819 (Mi sm819) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of affine homogeneous spaces of complexity one

I. V. Arzhantsev, O. V. Chuvashova

M. V. Lomonosov Moscow State University
English version PDF (246 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2004v195n06ABEH000819
Abstract: The complexity of an action of a reductive algebraic group $G$ on an algebraic variety $X$ is the codimension of a generic $B$-orbit in $X$, where $B$ is a Borel subgroup of $G$. Affine homogeneous spaces $G/H$ of complexity 1 are classified in this paper. These results are the natural continuation of the earlier classification of spherical affine homogeneous spaces, that is, spaces of complexity 0.
Received: 06.03.2003 and 12.01.2004
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 6, Pages 3–20
DOI: https://doi.org/10.4213/sm819
Bibliographic databases:
UDC: 512.745
MSC: Primary 14M17, 14R20, 37J35; Secondary 22F30, 32M10, 53C30
Language: English
Original paper language: Russian
Citation: I. V. Arzhantsev, O. V. Chuvashova, “Classification of affine homogeneous spaces of complexity one”, Mat. Sb., 195:6 (2004), 3–20; Sb. Math., 195:6 (2004), 765–782
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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    References:64
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