Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Gillibert, Pierre"'
Autor:
Gillibert, Jean, Gillibert, Pierre
For each finite subgroup $G$ of $PGL_2(\mathbb{Q})$, and for each integer $n$ coprime to $6$, we construct explicitly infinitely many Galois extensions of $\mathbb{Q}$ with group $G$ and whose ideal class group has $n$-rank at least $\#G-1$. This giv
Externí odkaz:
http://arxiv.org/abs/2005.10920
We show in this paper that the VC-dimension of the family of $d$-dimensional axis-parallel boxes and cubes on the $d$-dimensional torus are both asymptotically $d \log_2(d)$. This is especially surprising as the VC-dimension usually grows linearly wi
Externí odkaz:
http://arxiv.org/abs/2004.13861
We produce a class of $\omega$-categorical structures with finite signature by applying a model-theoretic construction -- a refinement of the Hrushosvki-encoding -- to $\omega$-categorical structures in a possibly infinite signature. We show that the
Externí odkaz:
http://arxiv.org/abs/2002.07054
We initiate the systematic study of loop conditions of arbitrary finite width. Each loop condition is a finite set of identities of a particular shape, and satisfaction of these identities in an algebra is characterized by it forcing a constant tuple
Externí odkaz:
http://arxiv.org/abs/1812.00396
We give a positive answer to a Conjecture by Manjul Bhargava, Daniel M. Kane, Hendrik W. Lenstra Jr., Bjorn Poonen and Eric Rains, concerning the cohomology of torsion subgroups of elliptic curves over global fields. This implies that, given a global
Externí odkaz:
http://arxiv.org/abs/1802.06145
Autor:
Gillibert, Pierre, Ranieri, Gabriele
We partially answer to a question of Vidaux and Videla by constructing an infinite family of rings of algebraic integers of totally real subfields of Q whose Julia Robinson's Number is distinct from 4 and +$\infty$. Moreover the set of the Julia Robi
Externí odkaz:
http://arxiv.org/abs/1710.11382
Autor:
Gillibert, Pierre
For every Turing machine, we construct an automaton group that simulates it. Precisely, starting from an initial configuration of the Turing machine, we explicitly construct an element of the group such that the Turing machine stops if, and only if,
Externí odkaz:
http://arxiv.org/abs/1710.09733
Autor:
Gillibert, Jean, Gillibert, Pierre
We prove the splitting of the Kummer exact sequence and related exact sequences in arithmetic geometry.
Comment: 8 pages, LaTeX. Minor changes in the exposition. New version of \S{}1.4 (in the previous version, the counterexample was wrong)
Comment: 8 pages, LaTeX. Minor changes in the exposition. New version of \S{}1.4 (in the previous version, the counterexample was wrong)
Externí odkaz:
http://arxiv.org/abs/1705.08195
We show that every finite Abelian algebra A from congruence-permutable varieties admits a full duality. In the process, we prove that A also allows a strong duality, and that the duality may be induced by a dualizing structure of finite type. We give
Externí odkaz:
http://arxiv.org/abs/1503.03981
Autor:
Gillibert, Pierre
A finite algebra $\bA=\alg{A;\cF}$ is \emph{dualizable} if there exists a discrete topological relational structure $\BA=\alg{A;\cG;\cT}$, compatible with $\cF$, such that the canonical evaluation map $e\_{\bB}\colon \bB\to \Hom( \Hom(\bB,\bA),\BA)$
Externí odkaz:
http://arxiv.org/abs/1503.02651