An introduction to wonderful varieties with many examples of type F4

Abstract

We give an introduction to the theory of wonderful G-varieties, with many examples when G is simple of type F4. We present results and open problems about these varieties: on their classification, on their isotropy groups, on morphisms between them, and on their relations with the representation theory of G.

arXiv commentv1 64 pages; v2 65 pages, new introduction, more references, some small reformulations and corrections

References in corpus (4)

• Invariant Hilbert schemes and Wonderful varieties
• Uniqueness property for spherical homogeneous spaces
• Classification of strict wonderful varieties
• On the coordinate ring of spherical conjugacy classes

Cited by in corpus (8)

• Spherical roots of spherical varieties
• Orbits of strongly solvable spherical subgroups on the flag variety
• Projective normality of model varieties and related results
• Equivariant degenerations of spherical modules for groups of type A
• The moduli scheme of affine spherical varieties with a free weight monoid
• Invariant Hilbert schemes and Wonderful varieties
• Manin's conjecture for certain spherical threefolds
• Standard monomial theory for wonderful varieties