Zobrazeno 1 - 10 of 43 pro vyhledávání: '"Xavier Caruso"'
1
Combinatorics of Serre weights in the potentially Barsotti-Tate setting
Autor: Xavier Caruso, Agnès David, Ariane Mézard
Publikováno v: Moscow Journal of Combinatorics and Number Theory
Moscow Journal of Combinatorics and Number Theory, 2023, 12 (1), pp.1-56. ⟨10.2140/moscow.2023.12.1⟩
International audience; Let $F$ be a finite unramified extension of $\mathbb Q_p$ and $\bar\rho$ be an absolutely irreducible mod~$p$ $2$-dimensional representation of the absolute Galois group of $F$. Let $t$ be a tame inertial type of $F$. We conje
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75ab9678c722db64505b7ccd2d194f4c
https://cnrs.hal.science/hal-03221168
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3
On FGLM Algorithms with Tate Algebras
Autor: Xavier Caruso, Tristan Vaccon, Thibaut Verron
Publikováno v: ISSAC
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021
International Symposium on Symbolic and Algebraic Computation — ISSAC 2021, Jul 2021, Virtual event, Russia
International audience; Tate introduced in [Ta71] the notion of Tate algebras to serve, in the context of analytic geometry over the-adics, as a counterpart of polynomial algebras in classical algebraic geometry. In [CVV19, CVV20] the formalism of Gr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45fc5ed71d8056b44dee760cb2d94fda
https://doi.org/10.1145/3452143.3465521
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4
Fast computation of elliptic curve isogenies in characteristic two
Autor: Elie Eid, Xavier Caruso, Reynald Lercier
Publikováno v: Journal of the London Mathematical Society
Journal of the London Mathematical Society, London Mathematical Society, 2021, 104 (4), pp.1901-1929. ⟨10.1112/jlms.12487⟩
Journal of the London Mathematical Society, 2021, 104 (4), pp.1901-1929. ⟨10.1112/jlms.12487⟩
International audience; We propose an algorithm that calculates isogenies between elliptic curves defined over an extension $K$ of $\mathbb{Q}_2$. It consists in efficiently solving with a logarithmic loss of $2$-adic precision the first order differ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33bae6576d16b500b0107797889ad9ee
https://hal.archives-ouvertes.fr/hal-02508825
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5
A theory of residues for skew rational functions
Autor: Xavier Caruso
Publikováno v: Journal de l'École polytechnique — Mathématiques
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2021, 8, pp.1159-1192
Journal de l'École polytechnique — Mathématiques, 2021, 8, pp.1159-1192. ⟨10.5802/jep.169⟩
International audience; This paper constitutes a first attempt to do analysis with skew polynomials. Precisely, our main objective is to develop a theory of residues for skew rational functions (which are, by definition, the quotients of two skew pol
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a1151e873650184258afcb2b52b2693
http://hdl.handle.net/20.500.12278/112995
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6
Signature-based algorithms for Gröbner bases over Tate algebras
Autor: Tristan Vaccon, Xavier Caruso, Thibaut Verron
Publikováno v: ISSAC
ISSAC 2021-International Symposium on Symbolic and Algebraic Computation
ISSAC 2021-International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece. ⟨10.1145/3373207.3404035⟩
Introduced by Tate in [Ta71], Tate algebras play a major role in the context of analytic geometry over the-adics, where they act as a counterpart to the use of polynomial algebras in classical algebraic geometry. In [CVV19] the formalism of Gr{\"o}bn
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24d4e9182a67519f05b75c530fbdd2cc
https://hal.archives-ouvertes.fr/hal-02473665/file/F5.pdf
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7
Gr{\'o}bner bases over Tate algebras
Autor: Xavier Caruso, Thibaut Verron, Tristan Vaccon
Publikováno v: ISSAC 2019-International Symposium on Symbolic and Algebraic Computation
ISSAC 2019-International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China. ⟨10.1145/3326229.3326257⟩
ISSAC
International audience; Tate algebras are fundamental objects in the context of analytic geometry over the p-adics. Roughly speaking, they play the same role as polynomial algebras play in classical algebraic geometry. In the present article, we deve
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::572524ca9ecde30c7afc62d950f748a3
http://arxiv.org/abs/1901.09574
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8
ZpL: a p-adic precision package
Autor: Xavier Caruso, David Roe, Tristan Vaccon
Publikováno v: ISSAC 2018
ISSAC 2018, Jul 2018, New York, United States. ⟨10.1145/3208976.3208995⟩
ISSAC
International audience; We present a new package ZpL for the mathematical software system SageMath. It implements a sharp tracking of precision on p-adic numbers, following the theory of ultrametric precision introduced in previous papers by the same
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3988cd88fcbe35e5ceeb37f1baa66744
https://hal.archives-ouvertes.fr/hal-01715800
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9
Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic
Autor: Gilles Christol, Alin Bostan, Xavier Caruso, Philippe Dumas
Publikováno v: ANTS-XIII-Thirteenth Algorithmic Number Theory Symposium
ANTS-XIII-Thirteenth Algorithmic Number Theory Symposium, Jul 2018, Madison, United States. pp.119-135, ⟨10.2140/obs.2019.2-1⟩
International audience; We revisit Christol's theorem on algebraic power series in positive characteristic and propose yet another proof for it. This new proof combines several ingredients and advantages of existing proofs, which make it very well-su
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c19ac6959afa8a8ec59a907ca0442f4
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10
Un calcul d'anneaux de déformations potentiellement Barsotti--Tate
Autor: Agnès David, Xavier Caruso, Ariane Mézard
Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2018, 370 (9), pp.6041-6096. ⟨10.1090/tran/6973⟩
Transactions of the American Mathematical Society, 2018, 370 (9), pp.6041-6096. ⟨10.1090/tran/6973⟩
57 pages, en français. 2014
Let F be an unramified extension of Qp. The first aim of this work is to develop a purely local method to compute the potentially Barsotti-Tate deformations rings with tame Galois type of irreducible two-dimensional representations of the absolute Ga
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::828f9851f5c6afc41565b778c6bc9382
https://hal.archives-ouvertes.fr/hal-00944666
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