English

Generalized Vojta-R\'emond inequality

Number Theory 2021-10-05 v2 Algebraic Geometry

Abstract

Following and generalizing unpublished work of Ange, we prove a generalized version of R\'emond's generalized Vojta inequality. This generalization can be applied to arbitrary products of irreducible positive-dimensional projective varieties, defined over the field of algebraic numbers, instead of powers of one fixed such variety. The proof runs closely along the lines of R\'emond's proof.

Keywords

Cite

@article{arxiv.1811.07784,
  title  = {Generalized Vojta-R\'emond inequality},
  author = {Gabriel Andreas Dill},
  journal= {arXiv preprint arXiv:1811.07784},
  year   = {2021}
}

Comments

14 pages, minor revisions, to appear in IJNT

R2 v1 2026-06-23T05:20:44.079Z