6533b835fe1ef96bd129e977
RESEARCH PRODUCT
false
Juergen HausenA. A'campo-neuenS. Schroeersubject
AlgebraPure mathematicsMathematics::Algebraic GeometryHomogeneous coordinatesMorphismMathematics::Commutative AlgebraGeneral MathematicsToric varietyAlgebraic geometryMathematics::Symplectic GeometryQuotientMathematicsdescription
Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to groups of Weil divisors generating the topology. Groups comprising Cartier divisors define free quotients, whereas ℚ–Cartier divisors define geometric quotients. Each quotient presentation yields homogeneous coordinates. Using homogeneous coordinates, we express quasicoherent sheaves in terms of multigraded modules and describe the set of morphisms into a toric variety.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-12-01 | Mathematische Nachrichten |