Mahler formula for morphisms on the n-dimensional projective space.

Title: Mahler formula for morphisms on the n-dimensional projective space.
Identifier: AAI3159244
identifier: 3159244
Creator: Pineiro, Jorge A.
Contributor: Adviser: Lucien Szpiro
Date: 2005
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: The Mahler formula expresses the height of an algebraic number as the integral of the log of its equation with respect to the Haar measure on the circle. The height is in fact the canonical height associated to the monomial maps xn and the Haar measure is nothing but the invariant measure associated to those maps. We show in this work that for "good" morphisms ϕ on Pn the canonical height of a hypersurface can be expressed as the integral, with adelic terms, of the log of its equation.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.