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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Published in:Mathematical Notes 2021-05, Vol.109 (5-6), p.954-961
Main Author: Shakhmatov, K. V.
Format: Article
Language:English
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description 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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subjects 14/34
639/766/189
639/766/530
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Mathematics
Mathematics and Statistics
title Smooth Nonprojective Equivariant Completions of Affine Space
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