mit Pierre Colmez, ARSTYN: The Poitou–Tate exact sequence for p-adic languages of adelic Noetherian schemes, Advances in Mathematics, Band 190, 2007, S. 563–601

Sat, 18 Apr 2026 19:03:38 +0000

Exploring ARSTYN: The Poitou–Tate Exact Sequence for p-adic Languages in Adelic Noetherian Schemes
Advances in Mathematics, Band 190 (2007), pp. 563–601 --- Introduction
In the evolving landscape of arithmetic geometry and number theory, p-adic languages and their study through adelic frameworks have emerged as powerful tools for understanding the cohomological and Galois-theoretic properties of arithmetic schemes. Among the key contributors to this domain is Pierre Colmez, whose groundbreaking work through the ARSTYN program has significantly advanced the theoretical understanding of p-adic languages in adelic Noetherian schemes. This article delves into Pierre Colmez’s influential paper, « ARSTYN: The Poitou–Tate exact sequence for p-adic languages of adelic Noetherian schemes, published in Advances in Mathematics, Band 190 (2007), pages 563–601. A deep exploration of its content, implications, and lasting impact illuminates its role in modern number theory. ---