Correct statement of a scattering problem for quantum charged scalar particles on the Reissner-Nordstr\"{o}m black holes

We study a correct statement of the scattering problem arising for quantum charged scalar particles on the Reissner-Nordstr\"{o}m black holes when taking into account the own electric field of black hole. The elements of the corresponding S-matrix are explored in the form convenient to physical applications and for applying numerical methods. Some further possible issues are outlined.Comment: 12 pages, LaTeX with using the ijmpd1.sty file from the package of World Scientific Publishing Co., to appear in Int. J. Mod. Phys. D7 (1998

Fundamentos epistemológicos del diálogo luliano

This study is divided in three parts. First, it shows which are the specific truths of Christianism, that distinguish it from other monotheistic religions. In the second part, establish the lullian metaphysics´suppositions that consent to embrace this truths. Finally, the third part is an attempt to expose the arguments and demonstrations characteristic of Lullian theory of knowledge

Classes logarithmiques et capitulation

We study a logarithmic version of the classical result of Artin-Furw{\"a}ngler on principalization of ideal classes in the Hilbert class-field by applying the group theoretic description of the transfert map to logarithmic class-groups of degree 0.Comment: in Frenc

Abelian capitulation of ray class groups

Building on Bosca's method, we extend to tame ray class groups the results on capitulation of ideals of a number field by composition with abelian extensions of a subfield first studied by Gras. More precisely, for every extension of number fields K/k, where at least one infinite place splits completely, and every squarefree divisor m of K, we prove that there exist infinitely many abelian extensions F/k such that the ray class group mod m of K capitulates in KF. As a consequence we generalize to tame ray class groups the results of Kurihara on triviality of class groups for maximal abelian pro-extensions of totally real number fields.Comment: in Frenc

Arbor scientiae:

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Computation of 2-groups of positive classes of exceptional number fields

We present an algorithm for computing the 2-group of the positive divisor classes of a number field F in case F has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel WK2(F) in K2(F) for such number fields

Extensions quadratiques 2-birationnelles de corps totalement réels

We characterize 2-birational CM-extensions of totally real number fields in terms of tame ramification. This result completes in this case a previous work on pro-l-extensions over 2-rational number fields

Compactification l-adique de R

We construct a compact topological group Rl which contains both the real additive group R and the l-adic one Ql (for a given prime number l) as dense subgroups; thus we study some of its properties. This construction gives an arithmetic description of the so-called l-adic solenoid classically defined in terms of foliations