Related papers: Divisorial contractions of algebraic varieties
This paper has been withdrawn by the author as the conjecture proposed in it is wrong.
This paper has been withdrawn. Theorem 2.1 of the paper is false, as it contradicts a result of Srinvas (Crelle's J. v.381, 1987). The error in our proof is in the construction of a functor in Claim 2. What we construct does not preserve…
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn by the author due to a crucial error.
Here are few notes on not necessarily normal toric varieties and resolution by toric blow-up. These notes are independent of, but in the same spirit as the earlier preprint arXiv:math.AG/0306221. That is, they focus on the fact that toric…
This paper has been withdrawn by author due to an error in the proof.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
This article has been withdrawn due to a mistake which is explained in version 2.
This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.
The article has been withdrawn by the author due to the existence of counterexamples.
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
We present an alternative proof of the Alexander-Hirschowitz Theorem in dimension 3 using degenerations of toric varieties.
We show that a conjecture of Einsiedler, Kapranov, and Lind on adelic amoebas of subvarieties of tori and their intersections with open halfspaces of complementary dimension is false for subvarieties of codimension greater than one that…
This paper has been withdrawn by the author due to a crucial error in equation.
This note was an attempt to complete a gap in the proof of Theorem 11.1 of the paper arXiv:1111.5992. Due to a critical gap in the proof of Lemma 4.3, this paper is withdrawn.
In this paper, we study derived categories of certain toric varieties with Picard number three that are blowing-up another toric varieties along their torus invariant loci of codimension at most three. We construct strong full exceptional…
This paper introduces the notion of twisted toric manifolds which is a generalization of one of symplectic toric manifolds, and proves the weak Delzant type classification theorem for them. The computation methods for their fundamental…
Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces over $3\mathbb{C}\mathbb{P}^2$. Such spaces are either small resolutions of double solids or they can be…
We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from $2$ are isomorphic if their Kuznetsov components are equivalent. We apply the same techniques to give a new simple proof…
This paper has been withdrawn by the author. The statement of the Main Theorem but is wrong in general, there have been provided counterexamples. The main theorem only holds conditionally, under the finiteness statement of theorem 2.8.