arXiv subjects
Publications and source records attributed to S. Schroeer.
What kind of schemes are embeddable into good toric prevarieties? To shed some light on this question, we construct proper normal surfaces that are embeddable into neither simplicial toric prevarieties nor toric prevarieties of affine intersection.
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 $\QQ$-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.