CORDIS Project
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This project aims to classify algebraic varieties by understanding birational maps, focusing on Sarkisov links, which are special birational maps between Mori fibre spaces. It seeks to provide a comprehensive description of these links in various dimensions and settings, significantly advancing the field of algebraic g…
A fundamental goal of Algebraic Geometry is to classify algebraic varieties up to isomorphism.
This is extremely hard, already for surfaces, and open in general.
It has become clear that we can only hope for a classification up to birational maps, that is, isomorphisms between dense open sets.
Understanding birational maps is therefore a key step towards the classification of algebraic varieties.
For one of the largest families of algebraic varieties, so-called Mori fibre spaces, any birational…
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