We study the finiteness of low degree points on certain modular curves and their Atkin--Lehner quotients, and, as an application, prove modularity elliptic over all but finitely many totally real fields $5$. On way, we a criterion for rational $5$ curve large genus number field using results Abramovich--Harris Faltings subvarieties Jacobians.

In this paper we generalize the Skjelbred–Sund method, used to classify nilpotent Lie algebras, in order triple systems with non-zero annihilator. We develop method purpose of classifying systems, obtaining from it algebraic classification up dimension four. Additionally, obtain geometric variety

Library research dengan pendekatan deduksi-induksi ini bertujuan untuk mengkaji kesemiprimaan mendasar aljabar tak bebas yang dibangun secara hingga atas ring komutatif unital. Tujuan praktis penelitian adalah mengaplikasikan suatu contoh semiprima non-komutatif pada protokol autentikasi berdasarkan masalah dekomposisi. Di samping itu, lebih umum dari semiprima, hal ditunjukkan penyangkal. Hasi...

Double aggregation operators are introduced and several basic properties are studied, as neutral and annihilator elements, idempotency, etc., which are illustrated by some examples. The classes of additive and comonotone additive double aggregation operators are characterized.

This paper formulates the problem of determining the degrees of all polynomial entries in a minimal polynomial basis of a polynomial matrix by using only the degree structure of the given matrix. Using a block Toeplitz matrix structure corresponding to the given polynomial matrix, it is shown that the degrees of the elements in its minimal polynomial basis, in the generic case, depend only on t...

A computation of the constant appearing in the spin-1 bosonization formula is given. This constant relates Faltings’ delta invariant to the zeta-regularized determinant of the Laplace operator with respect to the Arakelov metric.

ion Methods for Resource Allocation Berthe Y. Choueiry , Boi Faltings and Guevara Noubir Arti cial Intelligence Laboratory Industrial Computing Laboratory Swiss Federal Institute of Technology (EPFL) IN-Ecublens, CH-1015 Lausanne, Switzerland E-mail: fchoueiry j faltings j noubir [email protected] .ch Abstract. The main di culty in resource allocation is the enormous number of tasks and resources which h...