Jan 28, 2021

On integral points on open degree four del Pezzo surfaces

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: January 28, 2021 | 2:00 pm – 3:00 pm
Speaker: Jörg Jahnel, University of Siegen
Location: 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.

More Information:

Date:
January 28, 2021
2:00 pm – 3:00 pm

Speaker:
Jörg Jahnel, University of Siegen

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

Contact:

Birgit Oosthuizen-Noczil

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

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