Kondrateva, A. V.
Published in
Lobachevskii Journal of Mathematics

AbstractNon-alternating Hamiltonian Lie algebras in three variables over a perfect field of characteristic 2 are considered. A classification of non-alternating Hamiltonian forms over an algebra of divided powers in three variables and of the corresponding simple Lie algebras is given. In particular, it is shown that the non-alternating Hamiltonian...

Coxon, Nicholas

An additive fast Fourier transform over a finite field of characteristic two efficiently evaluates polynomials at every element of an F_2-linear subspace of the field. We view these transforms as performing a change of basis from the monomial basis to the associated Lagrange basis, and consider the problem of performing the various conversions betw...

Becher, Karim Johannes Grenier-Boley, Nicolas Tignol, Jean-Pierre

Given a central simple algebra with involution over an arbitrary field, étale subalgebras contained in the space of symmetric elements are investigated. The method emphasizes the similarities between the various types of involutions and privileges a unified treatment for all characteristics whenever possible. As a consequence a conceptual proof of ...

Rodriguez, Jaime E. A. La Torre, Oscar Paz Martins, Renato Vidal Viana, Paulo Henrique

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer ques...

Rodriguez, Jaime E. A. Paz la Torre, Oscar Vidal Martins, Renato Viana, Paulo Henrique
Published in
Bulletin of the Brazilian Mathematical Society, New Series

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer ques...

Rodriguez, Jaime E. A. La Torre, Oscar Paz Martins, Renato Vidal Viana, Paulo Henrique

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer ques...

Rodriguez, Jaime E. A. La Torre, Oscar Paz Martins, Renato Vidal Viana, Paulo Henrique

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer ques...

Rodriguez, Jaime E. A. La Torre, Oscar Paz Martins, Renato Vidal Viana, Paulo Henrique

We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer ques...

Zaidenberg, Mikhail

A function on a (generally infinite) graph $\G$ with values in a field $K$ of characteristic 2 will be called {\it harmonic} if its value at every vertex of $\G$ is the sum of its values over all adjacent vertices. We consider binary pluri-periodic harmonic functions $f: \Z^s\to\F_2=\GF(2)$ on integer lattices, and address the problem of describing...