For Seifert manifold M = X(p1/q1 , p2/q2 , · · · , pn/qn), τ ′ r(M) is calculated for all r odd ≥ 3. If r is coprime to at least n − 2 of pk (e.g. when M is the Poincare homology sphere), it is proved that ( √

There are two infinitesimal (i.e., additive) versions of the K-theory of a field F : one introduced by Cathelineau, which is an F -module, and another one introduced by Bloch-Esnault, which is an F ∗module. Both versions are equipped with a regulator map, when F is the field of complex numbers. In our short paper we will introduce an extended version of Cathelineau’s group, and a complex-valued...

This paper concerns the Tamagawa number conjecture of Bloch and Kato [B-K] for adjoint motives of modular forms of weight k ≥ 2. The conjecture relates the value at 0 of the associated L-function to arithmetic invariants of the motive. We prove that it holds up to powers of certain “bad primes.” The strategy for achieving this is essentially due to Wiles [Wi], as completed with Taylor in [T-W]....

The article outlines a model for the development of dynamic and innovative research environments in national innovation systems. The development model is based on an in-depth study and analysis of 15 research environments selected by the Danish Council for Research Policy as examples of dynamic and innovative public research environments. According to the model, research environments follow som...

Seasonal changes in the biochemical parameters such as protein, carbohydrate, lipid and ash besides moisture content in the muscle of Lagocephalus spadiceus (Richardson, 1845) and Lagocephalus lunaris (Bloch and Schneider, 1801) has been carried out during January to December 2009. The percentage composition of moisture, protein, carbohydrate, lipid and ash contents showed variations in their a...

Andrei Andryieuski,1,* Sangwoo Ha,2 Andrey A. Sukhorukov,2 Yuri S. Kivshar,2 and Andrei V. Lavrinenko1 1DTU Fotonik–Department of Photonics Engineering, Technical University of Denmark, Ørsteds pl. 343, DK-2800 Kongens Lyngby, Denmark 2Nonlinear Physics Centre and Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National ...

The exposition here follows the lecture delivered at the summer school, and hence, contains neither precision, breadth of comprehension, nor depth of insight. The goal rather is the curious one of providing a loose introduction to the excellent introductions that already exist, together with scattered parenthetical commentary. The inadequate nature of the exposition is certainly worst in the th...

IN 1883, one year before the invention of the dirigible, Albert Robida’s book War in the Twentieth Century envisaged a sudden, crushing air strike, while Ivan S. Bloch’s 1898 treatise on warfare expected bombardment from airships in the near future. With the evolu­ tion of airships—in particular, the flights of Count Ferdinand von Zeppelin’s dirigibles toward the end of the first decade of the ...

Let k be a perfect field of characteristic p > 0, Wn = Wn(k). For separated k-schemes of finite type, we explain how rigid cohomology with compact supports can be computed as the cohomology of certain de Rham-Witt complexes with coefficients. This result generalizes the classical comparison theorem of Bloch-Illusie for proper and smooth schemes. In the proof, the key step is an extension of the...

The boundedness of the weighted differentiation composition operator from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0 . An asymptotic estimate of the essential norm of the operator is also given in terms of the sequence, which gives a characterization for the compactness of the operator.