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pro vyhledávání: '"Dieulefait, Luis Victor"'
Autor:
Dieulefait, Luis Víctor, Urróz, Jorge
In this paper we give a polynomial time algorithm to compute $\varphi(N)$ for an RSA module $N$ using as input the order modulo $N$ of a randomly chosen integer. The algorithm consists only on a computation of a greatest common divisor, two multiplic
Externí odkaz:
http://arxiv.org/abs/2406.04061
The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second version includes extra details on definitions and proofs than the previous o
Externí odkaz:
http://arxiv.org/abs/2108.07577
Akademický článek
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Autor:
Dieulefait, Luis Victor
We prove Serre's conjecture for the case of Galois representations of Serre's weight 2 and level 1. We do this by combining the potential modularity results of Taylor and lowering the level for Hilbert modular forms with a Galois descent argument, pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5b3b9ee4092456d98eb282af621c31cb
https://hal.science/hal-00144152
https://hal.science/hal-00144152
Autor:
Dieulefait, Luis Victor
In this article we give a proof of Serre's conjecture for the case of odd level and arbitrary weight. Our proof will not depend on any generalization of Kisin's modularity lifting results to characteristic 2(moreover, we will not consider at all char
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ac88ff65f6ccbbe6744e9b47f9a07217
https://hal.archives-ouvertes.fr/hal-00144154
https://hal.archives-ouvertes.fr/hal-00144154
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Jaume I
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
In their paper [9], P. Paillier and J. Villar make a conjectur e about the malleability of an RSA modulus. In this paper we present an ex plicit algo- rithm refuting the conjecture. Concretely we can factorize an RSA modulus n using very little infor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c9fdeb56f4200c2cac43be8f95df049b
https://hdl.handle.net/2117/22162
https://hdl.handle.net/2117/22162
Autor:
Dieulefait, Luis Victor
Using results of Ribet on the images of Galois representations attached to modular forms, we realize linear groups as Galois groups over Q. In particular, combining with results of Brumer we prove that there exist infinitely many exponents r for whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4f2db040a663edd8636badef7af4ac69
https://hal.archives-ouvertes.fr/hal-00147919
https://hal.archives-ouvertes.fr/hal-00147919
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
In this article we study the behavior of inertia groups for modular Galois mod ℓn representations and in some cases we give a generalization of Ribet’s lowering the level result.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8fc8f927468ab57447b0920d062986f8
http://hdl.handle.net/2117/11542
http://hdl.handle.net/2117/11542
Autor:
Dieulefait, Luis
We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre's conjecture follows.
very minor changes
very minor changes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5e49dec61d55a31f0726cf7f1518225
http://arxiv.org/abs/0705.0457
http://arxiv.org/abs/0705.0457
Autor:
Dieulefait, Luis
We prove the following uniformity principle: if one of the Galois representations in the family attached to a genus two Siegel cusp form of weight $k>3$, "semistable" and with multiplicity one, is reducible (for an odd prime $p$),then all the represe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3b53ff2ff213246fdeddf2b4b72717c
http://arxiv.org/abs/math/0304432
http://arxiv.org/abs/math/0304432