On the algebraic Brauer classes on open degree four del Pezzo surfaces
Publication date
2019-10-01
Authors
Jahnel, Jörg
Schindler, Damaris
Editors
Advisors
Supervisors
Document Type
Article
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taverne
Abstract
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.
Keywords
Algebraic Brauer class, Corestriction, Explicit evaluation of Brauer classes, Non-cyclic Brauer class, Open del Pezzo surface of degree 4, Restriction, Taverne, Algebra and Number Theory
Citation
Jahnel, J & Schindler, D 2019, 'On the algebraic Brauer classes on open degree four del Pezzo surfaces', Journal of Number Theory, vol. 203, pp. 376-427. https://doi.org/10.1016/j.jnt.2019.01.010