Equivariant differential embeddings

Topology of Spaces of Equivariant Symplectic Embeddings

We compute the homotopy type of the space of Tn-equivariant symplectic embeddings from the standard 2n-dimensional ball of some fixed radius into a 2n-dimensional symplectic–toric manifold (M, σ), and use this computation to define a Z≥0-valued step function on R≥0 which is an invariant of the symplectic–toric type of (M, σ). We conclude with a discussion of the partially equivariant case of th...

On Embeddings of Homogeneous Spaces with Small Boundary

We study equivariant embeddings with small boundary of a given homogeneous space G/H, where G is a connected linear algebraic group with trivial Picard group and only trivial characters, and H ⊂ G is an extension of a connected Grosshans subgroup by a torus. Under certain maximality conditions, like completeness, we obtain finiteness of the number of isomorphism classes of such embeddings, and ...

Equivariant Dierential Embeddings

Equivariant Embeddings into Smooth Toric Varieties

We characterize embeddability of algebraic varieties into smooth toric varieties and prevarieties. Our embedding results hold also in an equivariant context and thus generalize a well-known embedding theorem of Sumihiro on quasiprojective G-varieties. The main idea is to reduce the embedding problem to the affine case. This is done by constructing equivariant affine conoids, a tool which extend...

2 9 A pr 2 00 4 EQUIVARIANT EMBEDDINGS OF TREES INTO HYPERBOLIC SPACES

A pr 2 00 4 EQUIVARIANT EMBEDDINGS OF TREES INTO HYPERBOLIC SPACES