Brauer-Manin obstructions requiring arbitrarily many Brauer classes

Autor:	Berg, Jennifer, Pagano, Carlo, Poonen, Bjorn, Stoll, Michael, Triantafillou, Nicholas, Viray, Bianca, Vogt, Isabel
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Primary 14G05 Secondary 11G25 14F22 14J20 14J26
Druh dokumentu:	Working Paper
Popis:	On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show that this subgroup can require arbitrarily many generators. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.05931 Zobrazit plný text záznamu View this record from Arxiv