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Equivariant Embeddings into Smooth Toric Varieties

Published online by Cambridge University Press:  20 November 2018

Jürgen Hausen
Jürgen Hausen*
Affiliation:
Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany, email: Juergen.Hausen@uni-konstanz.de
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Abstract

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We characterize embeddability of algebraic varieties into smooth toric varieties and prevarieties. Our embedding results hold also in an equivariant context and thus generalize a well-known embedding theorem of Sumihiro on quasiprojective $G$-varieties. The main idea is to reduce the embedding problem to the affine case. This is done by constructing equivariant affine conoids, a tool which extends the concept of an equivariant affine cone over a projective $G$-variety to a more general framework.

Keywords

14E2514C2014L3014M25
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 3 , 01 June 2002 , pp. 554 - 570
Copyright
Copyright © Canadian Mathematical Society 2002

References

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