Period-index in top cohomology over semiglobal fields

Autor:	Dijols, Sarah, Parimala, Raman, Sujatha, Ramdorai, Ure, Charlotte
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Mathematics - Rings and Algebras Primary 12G05 Secondary 11E04 11E81 13F25 14F22 14H25
Druh dokumentu:	Working Paper
Popis:	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. Comment: Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.03934 Zobrazit plný text záznamu View this record from Arxiv