Related papers: Normal generation of very ample line bundles on to…
The paper is withdrawn due to some errors.
This paper has been withdrawn by the author. The main result is wrong, as M.Matignon and C. Lehr provided a counterexample to it.
This paper has been withdrawn by the author due to a gap in the proof of the main result.
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn because the models on which it was based have undergone significant changes and improvements. A new paper with the same title, based on the improved models, is accepted for publication in MNRAS and is available…
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
This paper has been withdrawn.
King's conjecture states that on every smooth complete toric variety $X$ there exists a strongly exceptional collection which generates the bounded derived category of $X$ and which consists of line bundles. We give a counterexample to this…
The paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author because it was a speculative investigation.
We show that if an ample line bundle L on a nonsingular toric 3-fold satisfies h^0(L+2K)=0, then L is normally generated. As an application, we show that the anti-canonical divisor on a nonsingular toric Fano 4-fold is normally generated.
An arXiv administrator withdrew this article because it is a duplicate of math/0608203.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
We show that a nef and big line bundle whose adjoint bundle has non-zero global sections on a nonsingular toric weak Fano 3-fold is normally generated. As a consequence, we see that all ample line bundles on a nonsingular toric weak Fano…
This paper has been withdrawn by the author due to journal requirement.
This paper has been withdrawn by the authors
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the authors since it was strongly elaborated, some new sections appeared. This made the paper significantly differ from current version. Besides two new authors participated in the work. So the authors…