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Northcott's theorem on heights I. A general estimate (1993)

Schmidt, Wolfgang M.

Springer

Monatshefte für Mathematik 115 (1993), S. 169-181

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ISSN: 1436-5081

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Given a pointP=(a o:...:a n) of projective space ℙ n =ℙ n (A) whereA is the field of algebraic numbers, letd(P) be its degree andH(P) its absolute multiplicative height. Northcott's Theorem says that givend, n andX, there are only finitely many pointsP∈ℙ n withd(P)≦d andH(P)≦X. We will show that there are at mostc(d, n)X d(d+n) such points.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01311215

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