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Arithmetic, Geometry, Cryptography and Coding Theory (2012)
Issue 574.
Providence :
American Mathematical Society, 2012.
Under the general editorship: Zykin A. I., Aubry Y., Ritzenthaler C.
The volume is to contain the proceedings of the 13th conference AGCT as well as the proceedings of the conference Geocrypt. The conferences focus on various aspects of arithmetic and algebraic geometry, number theory, coding theory and cryptography. The main topics discussed at conferences include the theory of curves over finite fields, theory of abelian varieties both over global and finite fields, theory of zeta-functions and L-functions, asymptotic problems in number theory and algebraic geometry, algorithmic aspects of the theory of curves and abelian varieties, the theory of error-correcting coding and particularly that of algebro-geometric codes, cryptographic issues related to algebraic curves and abelian varieties.
Rybakov S., , in : Arithmetic, Geometry, Cryptography and Coding Theory (2012). Issue 574.: Providence : American Mathematical Society, 2012. P. 151-158.
Let $A$ be an abelian surface over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ of degree 4. We give a classification of the groups of $k$-rational points on varieties from this class in terms of $f_A$. ...
Added: February 16, 2013
Babash A. V., М. : РИОР, 2013
Пособие предназначено для студентов высших учебных заведений, обучающихся по специальности «Прикладная информатика (в экономике)». Оно также содержит методический материал для ряда инновационных курсов лекций по профилю «Информационная безопасность» и может быть использовано и для блока дисциплин этого профиля. Ряд представленных результатов полезен специалистам и аспирантам, специализирующихся в указанной области. ...
Added: January 14, 2014
Hirsch E., Melanich O., Nikolenko S. I., Journal of Mathematical Sciences 2012 Vol. 399 P. 32-64
In 1992, A. Hiltgen provided first constructions of provably (slightly) secure cryptographic primitives, namely feebly one-way functions. These functions are provably harder to invert than to compute, but the complexity (viewed as the circuit complexity over circuits with arbitrary binary gates) is amplified only by a constant factor (in Hiltgen’s works, the factor approaches 2). ...
Added: February 19, 2013
Babash A. V., М. : ИНФРА-М, РИОР, 2014
Пособие предназначено для студентов высших учебных заведений, обучающихся по специальности «Прикладная информатика (в экономике)». Оно также содержит методический материал для ряда инновационных курсов лекций по профилю «Информационная безопасность» и может быть использовано и для блока дисциплин этого профиля. Ряд представленных результатов полезен специалистам и аспирантам, специализирующихся в указанной области. ...
Added: January 14, 2014
Babash A. V., М. : ИНФРА-М, РИОР, 2013
Пособие предназначено для студентов высших учебных заведений, обучающихся по специальности «Прикладная информатика (в экономике)». Оно также содержит методический материал для ряда инновационных курсов лекций по профилю «Информационная безопасность» и может быть использовано и для блока дисциплин этого профиля. Ряд представленных результатов полезен специалистам и аспирантам, специализирующихся в указанной области. ...
Added: January 14, 2014
Zykin A. I., Lebacque P. undefined., Publications Mathematiques de Besancon 2011 P. 47-73
The paper is a survey of recent developments in the asymptotic theory of global fields and varieties over them. First, we give a detailed motivated introduction to the asymptotic theory of global fields which is already well shaped as a subject. Second, we treat in a more sketchy way the higher dimensional theory where much ...
Added: January 3, 2013
Providence : American Mathematical Society, 2009
This volume contains the proceedings of the 11th conference on AGC2T, held in Marseille, France in November 2007. There are 12 original research articles covering asymptotic properties of global fields, arithmetic properties of curves and higher dimensional varieties, and applications to codes and cryptography. This volume also contains a survey article on applications of finite ...
Added: January 3, 2013
Baranova E., Babash A. V., КноРус, 2022
Посвящено рассмотрению практических вопросов защиты информации методами криптографии и стеганографии. В пособие включены описания лабораторных работ с комплектом исполняемых программных модулей. Все практические работы предваряет теоретический раздел и заключает перечень контрольных вопросов.
Соответствует ФГОС ВО последнего поколения.
Для студентов бакалавриата и магистратуры, обучающихся по направлению «Информационная безопасность». ...
Added: June 16, 2021
Zykin A. I., Лашо Ж., Ритценталер К., Доклады Академии наук 2009 Т. 431 № 3 С. 313-315
Основные реультаты этой статьи таковы. Во-первых, с использованием модулярных форм Зигеля и Тейхмюллера мы получаем формулу Клейна, связывающую модулярную форму Зигеля $\chi_{18}$ с квадратом дискриминанта плоских квартик. Во-вторых, мы получаем следующий критерий. Если $k \subset \mathbb{C},$ a $(A,a)$ --- главнополяризованное абелево многообразие размерности 3 над $k,$ то $(A, a)$ является якобианом над $k,$ тогда и ...
Added: March 2, 2013
Feigin B. L., Finkelberg M. V., Rybnikov L. G. et al., Selecta Mathematica, New Series 2011 Vol. 17 No. 2 P. 337-361
Laumon moduli spaces are certain smooth closures of the moduli spaces of maps from the projective line to the flag variety of GLn. We calculate the equivariant cohomology rings of the Laumon moduli spaces in terms of Gelfand-Tsetlin subalgebra of U(gln), and formulate a conjectural answer for the small quantum cohomology rings in terms of ...
Added: October 9, 2012
Feigin E., Cerulli Irelli G., Reineke M., Algebra & Number Theory 2012 Vol. 6 No. 1 P. 165-194
Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic to the degenerate flag varieties investigated earlier by the second named author. This leads to the consideration of a class of Grassmannians of subrepresentations of the direct sum of a projective and ...
Added: June 29, 2012
Feigin B. L., Buryak A., Journal of Geometry and Physics 2012 Vol. 62 No. 7 P. 1652-1664
The moduli space M(r,n) of framed torsion free sheaves on the projective plane with rank r and second Chern class equal to n has the natural action of the (r+2)-dimensional torus. In this paper, we look at the fixed point set of different one-dimensional subtori in this torus. We prove that in the homogeneous case ...
Added: September 20, 2012
Trubochkina N. K., Качество. Инновации. Образование 2012 Т. 84 № 5 С. 76-82
Scientific and exploratory research and mathematical simulation of a fractal designresults are presented. Decorative fractal patterns for textile and construction industries (models, murals, stained glass) have been developed. Fractals, which can be attributed to a class of fractal artdeveloped. Technology of frost-and water-resistant seamless large area fractal frescoes developed. Technology cost much less than for ...
Added: November 21, 2012
Feigin M., Shramov K., International Mathematics Research Notices 2012 Vol. 2012 No. 15 P. 3375-3414
We consider representations of rational Cherednik algebras that are particular ideals in the ring of polynomials. We investigate convergence of the integrals that express the Gaussian inner product on these representations. We derive that the integrals converge for the minimal submodules in types B and D for the singular values suggested by Cherednik with at ...
Added: September 13, 2012
Plaksin M. A., Потенциал. Математика. Физика. Информатика 2014 № 6 С. 78-80
Статья написана в форме "письма в редакцию" и представляет собой провокационную "теорему" о том, что все числа равны едиинце. Читателям предлагется высказать по этому поводу свое мнение. ...
Added: February 19, 2015
Prokhorov Y., Journal of Algebraic Geometry 2012 Vol. 21 No. 3 P. 563-600
We classify all finite simple subgroups of the Cremona group Cr3(C). ...
Added: September 19, 2012
Rybakov S., / Cornell University. Series arXiv "math". 2017.
We introduce a new construction of towers of algebraic curves over finite fields and provide a simple example of an optimal tower. ...
Added: October 23, 2017
М. : МЦНМО, 2003
Издание содержит материалы конференции, проходившей в МГУ 17-18 октября 2002 г. ...
Added: October 17, 2014
M. : Higher School of Economics Publishing House, 2012
Toric geometry exhibited a profound relation between algebra and topology on one side and combinatorics and convex geometry on the other side. In the last decades, the interplay between algebraic and convex geometry has been explored and used successfully in a much more general setting: first, for varieties with an algebraic group action (such as ...
Added: November 17, 2012
Popov V., / Centro Internazionale per la Ricerca Matematica. Series CIRM "Electronic preprint server". 2012. No. нет.
Some problems on the structure of the Cremona groups formulated (with comments) by the author at the International conference Birational and Affine Geometry, Levico Terme (Trento), 29.10.12--03.11.12 ...
Added: January 9, 2013
Feigin E., Selecta Mathematica, New Series 2012 Vol. 18 No. 3 P. 513-537
Let Fλ be a generalized flag variety of a simple Lie group G embedded into the projectivization of an irreducible G-module Vλ. We define a flat degeneration Fλa, which is a GaM variety. Moreover, there exists a larger group Ga acting on Fλa, which is a degeneration of the group G. The group Ga contains ...
Added: August 31, 2012
Los A., Nesterenko A., Rozhkov M., М. : Юрайт, 2021
The textbook is intended for students of higher education institutions studying in the specialty 10.00.00. The main attention is paid to the rigorous mathematical justification, effective implementation and analysis of labor-intensive algorithms used in cryptographic applications. A description of modern cryptographic schemes and protocols that use the theoretical information presented is given. ...
Added: September 30, 2021
Kondo S., Yasuda S., / Cornell University. Series math "arxiv.org". 2014.
We study the homology and the Borel-Moore homology with coefficients in Q of a quotient (called arithmetic quotient) of the Bruhat-Tits building of PGL of a nonarchimedean local field of positive characteristic by an arithmetic subgroup (a special case of the general definition in Harder's article (Invent.\ Math.\ 42, 135-175 (1977)). We define an analogue ...
Added: December 11, 2014
Andrey Soldatenkov, International Mathematics Research Notices 2012 Vol. 2012 No. 15 P. 3483-3497
A hypercomplex structure on a smooth manifold is a triple of integrable almost complex structures satisfying quaternionic relations. The Obata connection is the unique torsion-free connection that preserves each of the complex structures. The holonomy group of the Obata connection is contained in GL(n, H). There is a well-known construction of hypercomplex structures on Lie ...
Added: January 17, 2013
Oberwolfach : European Mathematical Society Publishing house, 2012
В сборнике печатаются труды конференций Математического Института Обервольфаха. ...
Added: November 17, 2012