CORDIS Project
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This project advances algebraic geometry by investigating the properties of varieties through two main approaches: birational invariants and deformation properties. It aims to prove new rationality theorems and develop methods for counting tropical curves, contributing to the understanding of log geometry.
We propose major advances in several fundamental questions of algebraic geometry, centering around the invariants of varieties, that we will attack on two fronts.
One direction considers birational invariants and rationality properties.
The other studies deformation properties of varieties, especially in terms of curve-counting invariants.
Accordingly, we divide the material into three main projects.
In the first, we will prove rationality theorems for many new birational quotients obtained via…
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