On Embeddings into Toric Prevarieties

On Embeddings into

We give examples of proper normal surfaces that are not embeddable into simplicial toric prevarieties nor toric prevarieties of a ne intersection.

On Embeddings intoToric

We give examples of proper normal surfaces that are not embeddable into simpli-cial toric prevarieties nor toric prevarieties of aane intersection.

Affine Cones over Algebraic Varieties and Embeddings into Toric Prevarieties

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...

0 D ec 1 99 9 Toric Prevarieties and Subtorus Actions Annette

Dropping separatedness in the definition of a toric variety, one obtains the more general notion of a toric prevariety. Toric prevarieties occur as ambient spaces in algebraic geometry and moreover they appear naturally as intermediate steps in quotient constructions. We first provide a complete description of the category of toric prevarieties in terms of convex–geometrical data, so–called sys...