Smooth Nonprojective Equivariant Completions of Affine Space

An open translation-equivariant embedding of the affine space into a complete nonprojective algebraic variety is constructed for any . The main tool is the theory of toric varieties. In the case , the orbit structure of the obtained action on the variety is described.

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Bibliographic Details
Published in:Mathematical Notes 2021-05, Vol.109 (5-6), p.954-961
Main Author: Shakhmatov, K. V.
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Mathematics
Mathematics and Statistics
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Description
Summary:An open translation-equivariant embedding of the affine space into a complete nonprojective algebraic variety is constructed for any . The main tool is the theory of toric varieties. In the case , the orbit structure of the obtained action on the variety is described.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621050291