CORDIS Project
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This project aims to systematically construct rational points on Fano varieties, specifically del Pezzo surfaces of degree 1, using geometric methods. It seeks to address significant open questions in number theory and arithmetic geometry related to the distribution of rational points.
Describing the set of rational solutions to polynomial equations is the oldest field in mathematics and one of the fundamental goals in number theory.
In arithmetic geometry such solutions are studied using geometric tools: rational solutions to equations correspond to rational points on the corresponding geometric object.Fano varieties are among the simplest geometric objects, but still far from fully understood.
This makes them a great class to test conjectures and develop new techniques.
It i…
ALBERT-LUDWIGS-UNIVERSITAET FREIBURG
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