Geodesic
On Complete Intersections Over an Algebraically Non-Closed Field
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 140-145

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DOI

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.
DOI : 10.4153/CMB-1986-024-0
Mots-clés : 14M10, 14G30 
Marinari, Maria Grazia. On Complete Intersections Over an Algebraically Non-Closed Field. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 140-145. doi: 10.4153/CMB-1986-024-0
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     title = {On {Complete} {Intersections} {Over} an {Algebraically} {Non-Closed} {Field}},
     journal = {Canadian mathematical bulletin},
     pages = {140--145},
     year = {1986},
     volume = {29},
     number = {2},
     doi = {10.4153/CMB-1986-024-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-024-0/}
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