Publication
Anneau de Witt des G-formes et multiples de G-formes trace
Publications associées (51)
Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases
Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases. We define degree two cohomological invariants for -Galois algebras over fields of characteristic not 2, and use them to give necessary conditions for the existence of a self--dua ...
2017Distinct Values Of Bilinear Forms On Algebraic Curves
Frank de Zeeuw, Adrian Claudiu Valculescu
Let B-M : C x C -> C be a bilinear form B-M(p, q) - p(T)Mq, with an invertible matrix M is an element of C-2x2. We prove that any finite set S contained in an irreducible algebraic curve C of degree d in C determines Omega(d)(vertical bar S vertical bar(4/ ...
Univ Calgary, Dept Math & Statistics2016Quadratic Sieving
We propose an efficient variant for the initialisation step of quadratic sieving, the sieving step of the quadratic sieve and its variants, which is also used in sieving-based algorithms for computing class groups of quadratic fields. As an application we ...
American Mathematical Society2016Isometries of quadratic spaces
Let k be a global field of characteristic not 2, and let f is an element of k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the compl ...
European Mathematical Soc2015MATHICSE Technical Report : A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems
Fabio Nobile, Simone Brugiapaglia
We present a theoretical analysis of the CORSING (COmpRessed SolvING) method for the numerical approximation of partial differential equations based on compressed sensing. In particular, we show that the best s-term approximation of the weak solution of a ...
MATHICSE2015CM values of higher Green's functions and regularized Petersson products
Higher Green functions are real-valued functions of two variables on the upper half-plane, which are bi-invariant under the action of a congruence subgroup, have a logarithmic singularity along the diagonal, and satisfy the equation f = k(1−k) f ; here i ...
Cambridge UP2015Sesquilinear forms over rings with involution
Eva Bayer Fluckiger, Daniel Arnold Moldovan
Many classical results concerning quadratic forms have been extended to Hermitian forms over algebras with involution. However, not much is known in the case of sesquilinear forms without any symmetry property. The present paper will establish a Witt cance ...
Elsevier2014Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms
Eva Bayer Fluckiger, Daniel Arnold Moldovan
We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian category. The sesquilinear forms are not required to be unimodular or defined o ...
Pacific Journal Mathematics2014Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field
A recently found local-global principle for quadratic forms over function fields of curves over a complete discretely valued field is applied to the study of quadratic forms, sums of squares, and related field invariants. ...
Pacific Journal Mathematics2014Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model
A new approach stemming from the adiabatic-connection (AC) formalism is proposed to derive parameter-free double-hybrid (DH) exchange-correlation functionals. It is based on a quadratic form that models the integrand of the coupling parameter, whose compon ...
Amer Inst Physics2014