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On Complete Intersections Over an Algebraically Non-Closed Field

Published online by Cambridge University Press:  20 November 2018

Maria Grazia Marinari  and
Mario Raimondo
Maria Grazia Marinari
Affiliation:
Istituto Di Matematica Universita di Genova, 16132, Genova, Italy
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Abstract

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We give a criterion in order that an affine variety defined over any field has a complete intersection (ci.) embedding into some affine space. Moreover we give an example of a smooth real curve C all of whose embeddings into affine spaces are c.i.; nevertheless it has an embedding into ℝ3 which cannot be realized as a c.i. by polynomials.

Keywords

14M1014G30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 140 - 145
Copyright
Copyright © Canadian Mathematical Society 1986

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