On embeddings into toric prevarieties

@inproceedings{Hausen2000OnEI,
  title={On embeddings into toric prevarieties},
  author={Juergen Hausen and Stefan Schroeer},
  year={2000}
}
We give examples of complete normal surfaces that are not em- beddable into simplicial toric prevarieties nor toric prevarieties of ane inter- section. 
4 Citations
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    Canadian Journal of Mathematics
  • 2002
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References

SHOWING 1-10 OF 34 REFERENCES
On non-projective normal surfaces
Abstract:In this note we construct examples of non-projective normal proper algebraic surfaces and discuss the somewhat pathological behaviour of their Neron–Severi group. Our surfaces are birational
Ample subvarieties of algebraic varieties
Ample divisors.- Affine open subsets.- Generalization to higher codimensions.- The grothendieck-lefschetz theorems.- Formal-rational functions along a subvariety.- Algebraic geometry and analytic
A characterization of semiampleness and contractions of relative curves
A line bundle with a base-point-free multiple is called semiample. I give a cohomological characterization of semiample line bundles. The result is a common generalization of the Fujita-Zariski
ON WłODARCZYK'S EMBEDDING THEOREM
We prove the following version of Wlodarczyk's Embedding Theorem: Every normal complex algebraic -variety Y admits an equivariant closed embedding into a toric prevariety X on which acts as a
Toric Prevarieties and Subtorus Actions
AbstractDropping 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,
Picard Groups of compact toric Varieties and combinatorial Classes of Fans
We consider the question what can be said about the rank of the Picard group Pic Xσ of a compact toric variety Xσ if we know only the combinatorial type of the associated fan σ. We establish upper
Éléments de géométrie algébrique : II. Étude globale élémentaire de quelques classes de morphismes
© Publications mathématiques de l’I.H.É.S., 1961, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://
Éléments de géométrie algébrique : I. Le langage des schémas
© Publications mathématiques de l’I.H.É.S., 1960, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://
A Bia lynicki–Birula: Categorical quotients
  • J. Algebra
  • 2001
Bia lynicki – Birula : Categorical quotients
  • J . Algebra
  • 2001
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