Related papers: Detecting linear dependence on a semiabelian varie…
This paper has been withdrawn by the authors, because of serious experimental problems.
This paper has been withdrawn by the author
This paper is withdrawn because of an error in Lemma 3.1
This paper has been withdrawn due to an error in the proof of Theorem 5.3.
We show that in a quantum adiabatic evolution, even though the adiabatic approximation is valid, the total phase of the final state indicated by the adiabatic theorem may evidently differ from the actual total phase. This invalidates the…
This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.
This paper has been removed by the author due to a misstatement in Theorem 1 and a gap in its proof. A corrected and largely extended successor (a joint work with Thomas Bauer and Tomasz Szemberg) can be found under math.AG/0312211,
This paper has been withdrawn by the author due to a crucial argument error at p.10.
The paper is withdrawn because we realized triviality of the main considered example. Less trivial examples are provided in other our papers on the subject.
A dependent theory is a (first order complete theory) T which does not have the independence property. A main result here is: if we expand a model of T by the traces on it of sets definable in a bigger model then we preserve its being…
This paper has been withdrawn by the author due to an error.
withdrawed due to a substantial error.
We consider variants on the classical Berz sublinearity theorem, using only DC, the Axiom of Dependent Choices, rather than AC, the Axiom of Choice which Berz used. We consider thinned versions, in which conditions are imposed on only part…
This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .
We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consider the general case of semiabelian varieties. The main…
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^1(2)$-factor is missing in the right hand side of the…
This paper has been withdrawn by the author due to a crucial error in the submission action.
This paper has been withdrawn due to a crucial theoretical and experimental error.
The paper has been withdrawn