On the algebraic Brauer classes on open degree four del Pezzo surfaces

Autor:	Jahnel, Jörg, Schindler, Damaris
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14F22 (Primary) 11E12 14G20 14G25 14G05 14J20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study the algebraic Brauer classes on open del Pezzo surfaces of degree $4$. I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of degree $4$. We show that the $2$-torsion part is generated by classes of two different types. Moreover, there are two types of $4$-torsion classes. For each type, we discuss methods for the evaluation of such a class at a rational point over a $p$-adic field.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.04745 Zobrazit plný text záznamu View this record from Arxiv