arXiv Analytics

Sign in

arXiv:2312.03934 [math.NT]AbstractReferencesReviewsResources

Period-index in top cohomology over semiglobal fields

Sarah Dijols, Raman Parimala, Ramdorai Sujatha, Charlotte Ure

Published 2023-12-06Version 1

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.

Comments: Comments are welcome!
Categories: math.NT, math.AG, math.RA
Subjects: 12G05, 11E04, 11E81, 13F25, 14F22, 14H25
Related articles: Most relevant | Search more
arXiv:2010.12403 [math.NT] (Published 2020-10-23)
Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic $n$-space
arXiv:2204.07116 [math.NT] (Published 2022-04-14)
Spherical varieties and non-ordinary families of cohomology classes
arXiv:1903.08007 [math.NT] (Published 2019-03-19)
A comparison between obstructions to local-global principles over semiglobal fields

Links

Toolbox