Geodesic
Anti-Vandermonde Systems and Plane Trees
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 83-87

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Some special systems of polynomial equations (anti-Vandermonde systems) and the definition fields of their solutions are studied. In the case of four variables it is proved that a definition field is an extension of a real quadratic field of degree 12.
Keywords: algebraic fields, Galois theory
Mots-clés : polynomial algebra. 
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     author = {Yu. Yu. Kochetkov},
     title = {Anti-Vandermonde {Systems} and {Plane} {Trees}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a12/}
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Yu. Yu. Kochetkov. Anti-Vandermonde Systems and Plane Trees. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 83-87. http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a12/