CORDIS Project
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This project aims to classify spherical varieties in algebraic geometry by proving Luna's conjecture. The research involves studying the geometric properties of invariant Hilbert schemes associated with these varieties, contributing to a deeper understanding of their structure and classification.
Let G be a reductive linear algebraic group over the complex numbers. A G-variety, an algebraic variety with an algebraic action of the group G, is said to be spherical if it is normal and has an open orbit for a maximal connected solvable subgroup of G.
We aim to complete the classification of spherical varieties by proving Luna's conjecture on a special class of spherical varieties, called wonderful.
To a wonderful variety one can naturally associate an invariant combinatorial object in terms…
UNIVERSITE JOSEPH FOURIER GRENOBLE 1
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