Related papers: Normal generation of very ample line bundles on to…
This paper has been withdrawn by the author. It is not true that plt blow-up of toric singularity is toric (in dimension 3 too) and the first main theorem is incorrect also. The error is in deformation argument. I am grateful to Ivan…
This paper has been withdrawn by the author due to similarity to Author's other paper
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This paper has been withdrawn
We give effective bounds on the generation of pushforwards of log-pluricanonical bundles twisted by ample line bundles. This gives a partial answer to a conjecture proposed by Popa and Schnell. We prove two types of statements: first, more…
This paper has been withdrawn by the author due to an error.
Different techniques from machine learning are applied to the problem of computing line bundle cohomologies of (hypersurfaces in) toric varieties. While a naive approach of training a neural network to reproduce the cohomologies fails in…
This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.
This paper has been withdrawn by the author(s)
A natural higher K-theoretic analogue of the triviality of vector bundles on affine toric varieties is the conjecture on nilpotence of the multiplicative action of the natural numbers on the K-theory of these varieties. This includes both…
The paper is withdrawn.
This paper has been withdrawn by the author due a crucial error.
This paper has been withdrawn by the author since it contains errors.
This paper has been withdrawn by the author.
The paper has been withdrawn.
This submission has been withdrawn by arXiv administrators because of inappropriate authorship claims.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author to comply with the journal policy to which it has been submitted.
This paper has been withdrawn as the result is not correct.
For any $n\geq 3$, we explicitly construct smooth projective toric $n$-folds of Picard number $\geq 5$, where any nontrivial nef line bundles are big.