On the Hasse principle for del Pezzo surfaces of degrees 3 and 4

Speaker: 

Jörg Jahnel

Affiliation: 

Siegen

Date: 

Wed, 24/02/2016 - 1:30pm

Venue: 

RC-2063, The Red Centre, UNSW

Abstract: 

In this talk, I report about del Pezzo surfaces of degree 4 and cubic surfaces that violate the Hasse principle. The historically first such examples were constructed by Swinnerton-Dyer. Recently, we proved that counterexamples to the Hasse principle are in fact Zariski dense in the respective moduli spaces. This work was joint with Damaris Schindler and Andreas-Stephan Elsenhans.

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