Contractions of affine spherical varieties

Journal Article · Tue Aug 31 00:00:00 EDT 1999 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM1999V190N07ABEH000413; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21202880

Arzhantsev, I V ^[1]

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1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

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.

• OSTI ID: 21202880
• Journal Information: Sbornik. Mathematics, Vol. 190, Issue 7; Other Information: DOI: 10.1070/SM1999v190n07ABEH000413; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTRACTION
FILTRATION
MATHEMATICAL SPACE
ONE-DIMENSIONAL CALCULATIONS
SPHERICAL CONFIGURATION
THREE-DIMENSIONAL CALCULATIONS