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Title: Contractions of affine spherical varieties

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 SL{sub 2}-varieties are considered.

Authors:
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21202880
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 190; Journal Issue: 7; Other Information: DOI: 10.1070/SM1999v190n07ABEH000413; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONTRACTION; FILTRATION; MATHEMATICAL SPACE; ONE-DIMENSIONAL CALCULATIONS; SPHERICAL CONFIGURATION; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Arzhantsev, I V. Contractions of affine spherical varieties. United States: N. p., 1999. Web. doi:10.1070/SM1999V190N07ABEH000413; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Arzhantsev, I V. Contractions of affine spherical varieties. United States. doi:10.1070/SM1999V190N07ABEH000413; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Arzhantsev, I V. 1999. "Contractions of affine spherical varieties". United States. doi:10.1070/SM1999V190N07ABEH000413; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202880,
title = {Contractions of affine spherical varieties},
author = {Arzhantsev, I V},
abstractNote = {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 SL{sub 2}-varieties are considered.},
doi = {10.1070/SM1999V190N07ABEH000413; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
number = 7,
volume = 190,
place = {United States},
year = 1999,
month = 8
}
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