Period-index in top cohomology over semiglobal fields
Number Theory
2023-12-08 v1 Algebraic Geometry
Rings and Algebras
Abstract
We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over such fields. We discuss applications to quadratic forms and related open problems.
Cite
@article{arxiv.2312.03934,
title = {Period-index in top cohomology over semiglobal fields},
author = {Sarah Dijols and Raman Parimala and Ramdorai Sujatha and Charlotte Ure},
journal= {arXiv preprint arXiv:2312.03934},
year = {2023}
}
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