Related papers: Normal generation of very ample line bundles on to…

We prove that special ample line bundles on toric varieties arising from root systems are projectively normal. Here the maximal cones of the fans correspond to the Weyl chambers, and special means that the bundle is torus-equivariant such…

This article has been withdrawn due to an error in a proof of the main result.

This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.

We use the toric degeneration of Bott-Samelson varieties and the description of cohomolgy of line bundles on toric varieties to deduce vanishings results for the cohomology of lines bundles on Bott-Samelson varieties.

This paper has been withdrawn by the author.

The paper was withdrawn by the author. Further research is needed.

This paper has been withdraw by the author due to adding more modeling results.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

Paper is withdrawn

This paper was withdrawn by the author due to an edition's rights

This paper has been withdrawn by the author, due to possible counter-examples.

This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.

Paper withdrawn by author. New treatment is in preparation.

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper has been withdrawn by the authors, because of a crucial gap in the proof of the main theorem.

This paper has been withdrawn by the authors, due a oversimplified decoherence model. It will be substituted by a new work.

This paper was withdrawn by the authors.

We investigate full strongly exceptional collections on smooth, com- plete toric varieties. We obtain explicit results for a large family of varieties with Picard number three, containing many of the families already known. We also describe…

The paper has been withdrawn