28. Jan 2021

On integral points on open degree four del Pezzo surfaces

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Datum: 28. Januar 2021 | 14:00 – 15:00
Sprecher: Jörg Jahnel, University of Siegen
Veranstaltungsort: https://mathseminars.org/seminar/AGNTISTA

I will report on investigations, joint with Damaris Schindler (Göttingen), concerning the algebraic and transcendental Brauer-Manin obstructions to integral points on complements of a hyperplane section in degree four del Pezzo surfaces. We discuss moreover two concepts of an obstruction at an archimedean place. Concrete examples are given of pairs of non-homogeneous quadratic polynomials in four variables representing $(0,0)$ over $\bbQ$ and over $\bbZ_p$ for all primes $p$, but not over $\bbZ$. By blow-up, these yield cubic polynomials in three variables all integral solutions of which satisfy a gcd condition.

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Datum:
28. Januar 2021
14:00 – 15:00

Sprecher:
Jörg Jahnel, University of Siegen

Veranstaltungsort:
https://mathseminars.org/seminar/AGNTISTA

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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