arXiv Open Access 1999

The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field

Atsushi Moriwaki

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Abstrak

This paper is the sequel of our paper "Arithmetic height functions over finitely generated fields" (cf. math.NT/9809016). In this paper, we define the canonical height of subvarieties of an abelian variety over a finitely generated field over Q. We also prove that the canonical height of a subvariety is zero if and only if it is a translation of an abelian subvariety by a torsion point.

Topik & Kata Kunci

math.NT math.AG

Penulis (1)

Atsushi Moriwaki

Format Sitasi

APA MLA BibTeX

Moriwaki, A. (1999). The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field. https://arxiv.org/abs/math/9910090

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 1999
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓