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Classification of zeta functions of bielliptic surfaces over finite fields
Mathematical notes. 2016. Vol. 99. No. 3. P. 397-405.
Rybakov S.
Let S be a bielliptic surface over a finite field, and let an elliptic curve B be the Albanese variety of S; then the zeta function of the surface S is equal to the zeta function of the direct product P1 × B. Therefore, the classification problem for the zeta functions of bielliptic surfaces is reduced to the existence problem for surfaces of a given type with a given Albanese curve. In the present paper, we complete this classification initiated in [1].
Takebe T., International Journal of Modern Physics A 2004 Vol. 19, May suppl. P. 418-435
Trigonometric degeneration of the Baxter-Belavin elliptic r matrix is described by the degeneration of the twisted WZW model on elliptic curves. The spaces of conformal blocks and conformal coinvariants of the degenerate model are factorised into those of the orbifold WZW model. ...
Added: August 14, 2014
Vyugin I. V., Shkredov I. D., Solodkova E. V., / Cornell University. Series math "arxiv.org". 2014.
The paper is devoted to some applications of Stepanov method. In the first part of the paper we obtain the estimate of the cardinality of the set, which is obtained as an intersection of additive shifts of some different subgroups of F_p^*. In the second part we prove a new upper bound for Heilbron's exponential ...
Added: September 2, 2014
Brown F., Levin A., / Cornell University. Series arXiv "math". 2013. No. 1110.6917 [.
Abstract. We study the de Rham fundamental group of the configuration sp ace of several marked points on a complex elliptic curve, and define multiple elliptic polylogarithms. These are multivalued functions with unipotent monodromy, and are constructed by a general averaging proce dure. We show that all iterated integrals on this configuration space can be ...
Added: October 4, 2013
Nesterenko A., Математические вопросы криптографии 2014 Vol. 5 No. 2 P. 99-102
In this article we present an algorithm for constructing an elliptic curve endomorphism for given complex irrationality. This endomorphism can be used for speeding up a group operation on elliptic curve. ...
Added: February 2, 2015
Vyugin I. V., Макарычев С. В., / Cornell University. Series arXiv "math". 2015.
We present an upeer bound of the number of solutions (x,y) of a polynomial equation P(x,y)=0 over a field F_p in the case where x,y from G, G is a subgroup of F_p^*. ...
Added: June 22, 2015
Lvovsky S., / Cornell University. Series arXiv "math". 2018.
We show that if we are given a smooth non-isotrivial family of elliptic curves over ℂ with a smooth base B for which the general fiber of the mapping J:B→𝔸^1 (assigning j-invariant of the fiber to a point) is connected, then the monodromy group of the family (acting on H1(⋅,ℤ) of the fibers) coincides with SL(2,ℤ); if the general fiber has m≥2 connected components, then the ...
Added: December 5, 2018
Takebe T., Kuroki G., Journal of Physics A: Mathematical and Theoretical 2001 Vol. 34 No. 11 P. 2403-2413
We construct a Gaudin type lattice model as the Wess-Zumino-Witten model on elliptic curves at the critical level. Bethe eigenvectors are obtained by the bosonisation technique. ...
Added: August 14, 2014
Brown F., / arxive. Series math "nt". 2013. No. arXiv:1110.6917v2.
Abstract. We study the de Rham fundamental group of the configuration space
E (n) of n + 1 marked points on a complex elliptic curve E, and define multiple
elliptic polylogarithms. These are multivalued functions on E (n) with unipotent
monodromy, and are constructed by a general averaging procedure. We show
that all iterated integrals on E (n) , ...
Added: May 14, 2014
Гриценко В. В., Maevsky A. E., Математические заметки 2014 Т. 96 № 5-6 С. 864-879
В статье изучается алгебра p(x)-циркулянтов над произвольным конечным полем и строятся алгоритмы случайного равновероятного выбора элементов из подмножества всех обратимых p(x)-циркулянтов или подмножества всех p(x)-циркулянтов с заданным значением определителя. Особенностью рассматриваемых алгоритмов является минимизация временной сложности и количества случайных элементов, используемых в процессе их работы. ...
Added: October 21, 2015
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
Galkin S., Shinder E., / Cornell University. Series math "arxiv.org". 2015. No. 1506.05831.
We define a zeta-function of a pre-triangulated dg-category and investigate its relationship with the motivic zeta-function in the geometric case. ...
Added: June 23, 2015
NY : Springer, 2013
This volume contains a selection of contributions from the "First International Conference in Network Analysis," held at the University of Florida, Gainesville, on December 14-16, 2011. The remarkable diversity of fields that take advantage of Network Analysis makes the endeavor of gathering up-to-date material in a single compilation a useful, yet very difficult, task. The ...
Added: December 19, 2012
Zykin A. I., Lebacque P. undefined., Доклады Академии наук 2010 Т. 431 № 1 С. 162-164
Основным результатом данной работы является асимптотическая формула с явным остаточным членом для логарифмических производных дзета-функций в семействах глобальных полей. Полученная формула может рассматриваться как весьма далеко идущее обобщение явной теоремы Брауэра--Зигеля как для функциональных, так и для числовых полей. ...
Added: March 2, 2013
Loughran D., Trepalin A., Mathematical Research Letters 2020 Vol. 27 No. 3 P. 845-853
We completely solve the inverse Galois problem for del Pezzo surfaces of degree 2 and 3 over all finite fields. ...
Added: October 28, 2020
Brown F., / arxive. Series math "nt". 2013. No. 1110.6917.
Abstract. We study the de Rham fundamental group of the configuration space
E (n) of n + 1 marked points on a complex elliptic curve E, and define multiple
elliptic polylogarithms. These are multivalued functions on E (n) with unipotent
monodromy, and are constructed by a general averaging procedure. We show
that all iterated integrals on E (n) , ...
Added: May 14, 2014
Pavlov A., Mathematische Zeitschrift 2021 No. 297 P. 223-254
We show that for maximal Cohen–Macaulay modules over the homogeneous coordinate ring of a smooth Calabi–Yau varieties X, the computation of Betti numbers can be reduced to computations of dimensions of certain HomHom spaces in the bounded derived category Db(X). In the simplest case of a smooth elliptic curve E embedded in P2 as a smooth cubic, we get explicit values for Betti ...
Added: October 31, 2020
Bogomolov F. A., Fu H., European Journal of Mathematics 2018 Vol. 4 No. 2 P. 555-560
We construct pairs of elliptic curves over number fields with large intersection of projective torsion points. ...
Added: September 13, 2018
Vyugin I. V., Солодкова Е. В., Шкредов И. Д., Математические заметки 2016 Т. 100 № 2 С. 185-195
By means Stepanov's method the bound of cardinality of the intersection of additive shifts of several subgroups of multiplicative group of the finite field was obtained. This bound apply to some question of additive decomposition of subgroups. ...
Added: January 29, 2016
Netay I. V., Савватеев А. В., / Cornell University. Series math "arxiv.org". 2016.
The paper is devoted to the description of family of scalene triangles for which the triangle formed by the intersection points of bisectors with opposite sides is isosceles.
We call them Sharygin triangles.
It turns out that they are parametrized by an open subset of an elliptic curve.
Also we prove that there are infinitely many non-similar integer ...
Added: October 19, 2016
Poberezhny V. A., / ИТЭФ. Series "Препринты ИТЭФ". 2012. No. 57/12.
In this work we investigate the action of generalized Schlesinger transformation on the isomonodromic families of meromorphic connections on the linear bundles of rank two and degree zero over an elliptic curve. The main interest is the action of the gauge transformation on the moduli space of vector bundles. the central result is the explicit ...
Added: March 31, 2014
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013