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math.AG2000
Homogeneous Coordinates and Quotient Presentations for Toric Varieties
A. A'Campo-Neuen, J. Hausen, S. Schroeer
Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to grou…
math.AG2000
Examples and Counterexamples for Existence of Categorical Quotients
A. A'Campo-Neuen, J. Hausen
We give examples for existence and non-existence of categorical quotients for algebraic group actions in the categories of algebraic varieties and prevarieties. All our examples ar…
math.AG2000
Quotients of Divisorial Toric Varieties
A. A'Campo-Neuen, J. Hausen
We consider subtorus actions on divisorial toric varieties. Here divisoriality means that the variety has many Cartier divisors like quasiprojective and smooth ones. We characteriz…