相关论文: Higher exponential maps and explicit reciprocity l…

This paper has been withdrawn

This paper has been withdrawn by the author, as it is now incorporated in 0901.4506 (v4)

This paper has been withdrawn since its content is included in the more general version arXiv:0804.1882

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to similarity to the author's other paper

This paper has been withdrawn.

This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…

Withdrawn due to extensions and submission as another paper.

This paper has been withdrawn by the author.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

This paper has been withdrawn, because I have merged it with paper I of the series, math.AG/0312190. The main results of this paper now appear in sections 7-9 of the revised version of math.AG/0312190, with shortened and improved proofs.

The paper has been withdrawn.

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

This is an introduction to noncommutative local reciprocity maps for totally ramified Galois extensions with arithmetically profinite group. These maps in general are not homomorphisms but Galois cycles; a description of their image and…

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

The article is withdrawn. Its content is contained in the final version of arXiv:0805.1634.

This paper has been withdrawn by the authors due to missing references to earlier work and an error in the interpretation of Figures 2 and 3. A corrected version is in preparation.

This paper is withdrawn.