English

On periods: from global to local

Number Theory 2018-06-25 v1

Abstract

Complex periods are algebraic integrals over complex algebraic domains, also appearing as Feynman integrals and multiple zeta values. The Grothendieck-de Rham period isomorphisms for p-adic algebraic varieties defined via Monski-Washnitzer cohomology, is briefly reviewed. The relation to various p-adic analogues of periods are considered, and their relation to Buium-Manin arithmetic differential equations.

Keywords

Cite

@article{arxiv.1806.08726,
  title  = {On periods: from global to local},
  author = {Lucian M. Ionescu},
  journal= {arXiv preprint arXiv:1806.08726},
  year   = {2018}
}

Comments

9 pages

R2 v1 2026-06-23T02:38:40.467Z