# Wonderful varieties of type B and C

## TL;DR

This paper proves Luna's conjecture on classifying wonderful G-varieties of types B and C by reducing the problem to analyzing finitely many primitive cases and explicitly working out all such cases for classical groups.

## Contribution

It provides a complete classification of wonderful varieties of types B and C by analyzing primitive cases for classical groups, confirming Luna's conjecture.

## Key findings

- Reduction of Luna's conjecture to finitely many primitive cases
- Explicit classification of primitive cases for classical groups
- Confirmation of conjecture for types B and C

## Abstract

We show that the proof of Luna's conjecture about the classification of general wonderful G-varieties can be reduced to the analysis of finitely many families of primitive cases. We work out all primitive cases arising with any classical group G.

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Source: https://tomesphere.com/paper/0909.3771