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Sbornik: Mathematics, 1999, Volume 190, Issue 7, Pages 937–954
DOI: https://doi.org/10.1070/sm1999v190n07ABEH000413 (Mi sm413) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Contractions of affine spherical varieties

I. V. Arzhantsev

M. V. Lomonosov Moscow State University
English version PDF (326 kB) Citations (1)
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DOI: https://doi.org/10.1070/sm1999v190n07ABEH000413
Abstract: The language of filtrations and contractions is used to describe the class of $G$-varieties obtainable as the total spaces of the construction of contraction applied to affine spherical varieties, which is well-known in invariant theory. These varieties are local models for arbitrary affine $G$-varieties of complexity 1 with a one-dimensional categorical quotient. As examples, reductive algebraic semigroups and three-dimensional $\operatorname{SL}_2$-varieties are considered.
Received: 06.08.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 7, Pages 3–22
DOI: https://doi.org/10.4213/sm413
Bibliographic databases:
UDC: 512.74
MSC: Primary 14L30; Secondary 14M17, 57S25
Language: English
Original paper language: Russian
Citation: I. V. Arzhantsev, “Contractions of affine spherical varieties”, Mat. Sb., 190:7 (1999), 3–22; Sb. Math., 190:7 (1999), 937–954
Citation in format AMSBIB
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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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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:463
    Russian version PDF:207
    English version PDF:25
    References:64
    First page:1
     
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