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of 38
pro vyhledávání: '"Livné, Ron"'
An explicit construction of locally testable codes of constant rate, constant distance and constant number of queries is given. Hence answering affirmatively the $c^3$-problem.
Comment: This is a revision of arxiv.org/2111.04808 that has been ad
Comment: This is a revision of arxiv.org/2111.04808 that has been ad
Externí odkaz:
http://arxiv.org/abs/2207.11929
A locally testable code (LTC) is an error-correcting code that has a property-tester. The tester reads $q$ bits that are randomly chosen, and rejects words with probability proportional to their distance from the code. The parameter $q$ is called the
Externí odkaz:
http://arxiv.org/abs/2111.04808
We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the automorphy of the Galois representations associated to the Calabi-Yau t
Externí odkaz:
http://arxiv.org/abs/1212.3399
Autor:
Besser, Amnon, Livné, Ron
We describe an algorithm for computing the Picard-Fuchs equation for a family of twists of a fixed elliptic surface. We then apply this algorithm to obtain the equation for several examples, which are coming from families of Kummer surfaces over Shim
Externí odkaz:
http://arxiv.org/abs/1202.2808
We consider complex K3 surfaces with a non-symplectic group acting trivially on the algebraic cycles. Vorontsov and Kondo classified those K3 surfaces with transcendental lattice of minimal rank. The purpose of this note is to study the Galois repres
Externí odkaz:
http://arxiv.org/abs/0904.1922
Autor:
Donagi, Ron, Livné, Ron
In this article we use a Prym construction to study low dimensional abelian varieties with an action of the quaternion group. In special cases we describe the Shimura variety parameterizing such abelian varieties, as well as a map to this Shimura var
Externí odkaz:
http://arxiv.org/abs/math/0507493
Autor:
Livné, Ron, Yui, Noriko
Let $X$ be a Calabi--Yau threefold fibred over ${\mathbb P}^1$ by non-constant semi-stable K3 surfaces and reaching the Arakelov--Yau bound. In [STZ], X. Sun, Sh.-L. Tan, and K. Zuo proved that $X$ is modular in a certain sense. In particular, the ba
Externí odkaz:
http://arxiv.org/abs/math/0304497
Using the p-adic uniformization of Shimura varieties we determine, for some of them, over which local fields they have rational points. Using this we show in some new curve cases that the jacobians are even in the sense of Poonen and Stoll.
Externí odkaz:
http://arxiv.org/abs/math/0204361
Autor:
Livné, Ron
We give an explicit version of the Ramanujan-Petersson Conjecture for Hilbert Modular Forms, and deduce the "Ramanujan" property for certain cubical complexes. We reinterpret the results in terms of Communication Networks. The work will appear in the
Externí odkaz:
http://arxiv.org/abs/math/0106271
Autor:
Jordan, Bruce W., Livné, Ron
This paper considers a higher-dimensional generalization of the notion of Ramanujan graphs, defined by Lubotzky, Phillips, and Sarnak. Specifically the Ramanujan property is studied for cubical complexes which are uniformized by an ordered product of
Externí odkaz:
http://arxiv.org/abs/math/9907214