Inside Cover: Cognitive‐Performance Recovery of Alzheimer's Disease Model Mice by Modulation of Early Soluble Amyloidal Assemblies (Angew. Chem. Int. Ed. 11/2009)

The accumulation of amyloid‐β (Aβ) as amyloid fibril deposits may play a central role in the pathogenesis of Alzheimer's disease, which is among the most common diseases of the 21st century. E. Gazit and co‐workers describe in their Communication on page 1981 ff. a novel Aβ fibrilization inhibitor, whose mechanism of action is based on targeting aromatic recognition modules together with a unique C^α‐methylation β‐breakage strategy. We thank Tal Mazor for the graphical assistance with the cover.

     

Calculating the Fundamental Group of Galois Cover of the (2,3)-embedding of ℂℙ 1 × T

As known to all,it is quite difficult to compute the fundamental group of a surface of general type.In this paper,applying Moishezon-Teicher’s algorithm,we investigate the fundamental group of a special surface of general type with zero topological index,namely,the Galois cover of the(2,3)-embedding of CP^1×T.Because the full presentation of the group is very complicated,we compute its special quotient and get an interesting result about its structure.     

The Coxeter Quotient of the Fundamental Group of a Galois Cover of 𝕋 × 𝕋

ABSTRACT

Let X be the surface 𝕋 × 𝕋, where 𝕋 is the complex torus. This article is the third in a series studying the fundamental group of the Galois cover of X with respect to a generic projection onto ??².

Van Kampen Theorem gives a presentation of the fundamental group of the complement of the branch curve, with 54 generators and more than 2000 relations. Here we introduce a certain natural quotient (obtained by identifying pairs of generators), prove it is a quotient of a Coxeter group related to the degeneration of X, and show that this quotient is virtually nilpotent.

Communicated by C. Pedrini.     

On the Galois covers of degenerations of surfaces of minimal degree

We investigate the topological structures of Galois covers of surfaces of minimal degree (i.e., degree n) in ${\mathbb{CP}}^{n+1}$. We prove that for $n\ge 5$, the Galois covers of any surfaces of minimal degree are simply-connected surfaces of general type.