Geodesic
Polynomials with integral coefficients, equivalent to a given polynomial
Kollár, János1
1 University of Utah, Salt Lake City, UT 84112
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 17-27.

Voir la notice de l'article provenant de la source American Mathematical Society

Let $f(x_{0},\dots ,x_{n})$ be a homogeneous polynomial with rational coefficients. The aim of this paper is to find a polynomial with integral coefficients $F(x_{0},\dots ,x_{n})$ which is “equivalent" to $f$ and as “simple" as possible. The principal ingredient of the proof is to connect this question with the geometric invariant theory of polynomials. Applications to binary forms, class numbers, quadratic forms and to families of cubic surfaces are given at the end.
DOI : 10.1090/S1079-6762-97-00019-X

Kollár, János 1

1 University of Utah, Salt Lake City, UT 84112 
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Kollár, János. Polynomials with integral coefficients, equivalent to a given polynomial. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 17-27. doi : 10.1090/S1079-6762-97-00019-X. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00019-X/

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