Northcott's theorem on heights I. A general estimate |
| |
Authors: | Wolfgang M. Schmidt |
| |
Affiliation: | (1) Department of Mathematics, University of Colorado, 80309 Boulder, CO, USA |
| |
Abstract: | Given a pointP=(ao:...:an) of projective space n= 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![isin](/content/p32m2848n277158j/xxlarge8712.gif) n withd(P) d andH(P) X. We will show that there are at mostc(d, n)Xd(d+n) such points.Supported in part by NSF grant DMS-9108581. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|