Quantitative arithmetic of diagonal degree 2 K3 surfaces

In joint work with D. Loughran and M. Nakahara, we study the existence of rational points for the family of "diagonal degree 2 K3 surfaces" over Q. Using recent breakthroughs in the study of their algebraic and transcendental Brauer groups, we show that when coefficients are ordered by height, the Brauer group is almost always trivial, and find the exact order of magnitude of surfaces for which there is a Brauer-Manin obstruction to the Hasse principle. Our results exhibit infinitely many K3 surfaces with a Brauer- Manin obstruction to the Hasse principle that is only explained by odd order torsion.

Referent/Referentin

Dr. Damián Gvirtz

Veranstalter

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Termin

14. November 2019
12:00 Uhr - 13:15 Uhr

Kontakt

Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de

Ort

Hauptgebäude
Geb.: 1101
Raum: g117
Welfengarten 1
30167 Hannover

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https://www.iazd.uni-hannover.de/oberseminar_zag.html