CORDIS Project
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This project focuses on the study of algebraic varieties and their classification through arithmetic moduli spaces. It aims to develop new tools in algebraic geometry by investigating K3 surfaces and supersingular varieties, linking various fields of research.
Algebraic geometry deals with algebraic varieties, that is, systems of polynomial equations and their geometric interpretation.
Its ultimate goal is the classification of all algebraic varieties.
For a detailed understanding, one has to construct their moduli spaces, and eventually study them over the integers, that is, in the arithmetic situation.
So far, the best results are available for curves and Abelian varieties.To go beyond the aforementioned classes, I want to study arithmetic moduli sp…
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