English

A localized version of the basic triangle theorem

Symbolic Computation 2020-08-07 v3 Commutative Algebra Combinatorics

Abstract

In this short note, we give a localized version of the basic triangle theorem, first published in 2011 (see [4]) in order to prove the independence of hyperlogarithms over various function fields. This version provides direct access to rings of scalars and avoids the recourse to fraction fields as that of meromorphic functions for instance.

Keywords

Cite

@article{arxiv.1908.03327,
  title  = {A localized version of the basic triangle theorem},
  author = {Gérard Duchamp and Nihar Gargava and Hoang Ngoc Minh and Pierre Simonnet},
  journal= {arXiv preprint arXiv:1908.03327},
  year   = {2020}
}
R2 v1 2026-06-23T10:43:30.470Z