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Sufficiently Homogeneous Closed Embeddings of 𝔸n-1 into 𝔸n are Linear

Published online by Cambridge University Press:  20 November 2018

Peter Russell
Peter Russell*
Affiliation:
Department of Mathematics & Statistics, McGill University, Montreal, PQ and Centre Interuniversitaire en Calcul Mathématique Algébrique (CICMA)
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Abstract

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We show that over a field k of characteristic zero an affine (n — 1)- space embedded as a closed subvariety in affine n-space and homogeneous for a codimension two linear torus action on is defined by the vanishing of a variable.

Keywords

14E2514E09
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 6 , 01 December 1996 , pp. 1286 - 1295
Copyright
Copyright © Canadian Mathematical Society 1996

References

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