Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Olivier Mila"'
Autor:
Olivier Mila, Vincent Emery
Publikováno v:
Transactions of the American Mathematical Society, Series B. 8:277-295
We introduce and motivate a notion of pseudo-arithmeticity, which possibly applies to all lattices in $\mathrm{PO}(n,1)$ with $n>3$. We further show that under an additional assumption (satisfied in all known cases), the covolumes of these lattices c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e2908ed0a426515611e16533bcf3de4
https://doi.org/10.1090/btran/48
https://doi.org/10.1090/btran/48
Autor:
Olivier Mila, Martino Borello
Publikováno v:
Borello, Martino; Mila, Olivier Bernard (2019). Symmetries of weight enumerators and applications to Reed-Muller codes. Advances in mathematics of communications, 13(2), pp. 313-328. American Institute of Mathematical Sciences 10.3934/amc.2019021
Gleason's 1970 theorem on weight enumerators of self-dual codes has played a crucial role for research in coding theory during the last four decades. Plenty of generalizations have been proved but, to our knowledge, they are all based on the symmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7279b25f5cceeb58805c5afe59e41279
https://doi.org/10.3934/amc.2019021
https://doi.org/10.3934/amc.2019021
Autor:
Matilde Lalín, Olivier Mila
We define hyperbolic Heron triangles (hyperbolic triangles with "rational" side-lengths and area) and parametrize them in two ways as rational points of certain elliptic curves. We show that there are infinitely many hyperbolic Heron triangles with o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::377cc45c5323e31fef771887e9b8106a
Autor:
Olivier Mila
We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$-manifolds that have the same ambient group and trace ring, for any $n \geq 3$. The manifolds can be chosen compact, if $n \geq 4$.
DOCUMENTA MATHEMATICA, Vol 26 (2
DOCUMENTA MATHEMATICA, Vol 26 (2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71c9409415a0a1217c196f587dd35c17
http://arxiv.org/abs/2007.00553
http://arxiv.org/abs/2007.00553
Autor:
Olivier Mila
We determine the adjoint trace field of gluings of general hyperbolic manifolds. This provides a new method to prove the nonarithmeticity of gluings, which can be applied to the classical construction of Gromov and Piatetski-Shapiro (and generalizati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08ddf2de838f8eda71dbede44b371de4
http://arxiv.org/abs/1911.13157
http://arxiv.org/abs/1911.13157
Autor:
Olivier Mila
Publikováno v:
Algebr. Geom. Topol. 18, no. 7 (2018), 4359-4373
We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely many examples of such manifolds that are pairwise non-commensurable an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57c75a05c12cab1d3a7088f917052489
http://arxiv.org/abs/1712.06470
http://arxiv.org/abs/1712.06470