CORDIS Project
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This project explores the relationship between algebraic varieties and their rational points over different fields. It aims to bridge gaps in understanding through the study of motivic properties and Galois groups, contributing to the fields of Algebraic Geometry and Arithmetic.
From the viewpoint of geometric classification, there are two extreme cases of smooth varieties X defined over an algebraically closed field: those which are hyperbolic, and those which are rationally connected.
If k is no longer algebraically closed, a central question of Algebraic Arithmetic Geometry is what properties of k force X to have a rational point in those two opposed cases.
It is conjectured (Lang-Manin, extended by Kollár), that rationally connected varieties have a rational poi…
FREIE UNIVERSITAET BERLIN
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Germany, Essen
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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