Period-Index in Top Cohomology Over Semiglobal Fields

Association for Women in Mathematics series 2026 Open access

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Authors: Sarah Dijols, R. Parimala, R. Sujatha, Charlotte Ure
DOI: 10.1007/978-3-032-11183-8_5
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Algebra and Geometry Algebraic Geometry and Number Theory

Publication details

Journal / source
Association for Women in Mathematics series
Pages
107–130
Publication date
1 January 2026
Language
EN