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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
椭圆曲线 佐藤-泰特分布 伪随机性
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2023/4/13
A natural smooth compactiffcation of the space of elliptic curves in projective space via blowing up the space of stable maps
projective space stable maps
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2015/7/14
We nd it interesting that such a natural naive approach as we will describe
actually works, and yields a desingularization with these nice properties.
THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE
ELLIPTIC CURVES PROJECTIVE SPACE
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2015/7/14
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with
specied contact with a hyperplane H. We compute intersection numbers on these spaces that
correspond to the number of degre...
On the Frequency of Finitely Anomalous Elliptic Curves
Elliptic Curves Galois Representations Number Theory
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2014/12/8
Given an elliptic curve E over Q, we can then consider E over the finite field Fp. If Np is the number of points on the curve over Fp, then we define ap(E) = p+1-Np. We say primes p for which ap(E) = ...
A New Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
elliptic curves rank pythagorean triples
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2011/2/28
The aim of this paper is to introduce a new family of elliptic curves in the form of y2 = x(x−a2)(x−b2) that have positive ranks. We first generate a list of pythagorean triples (a, b, c) ...
A new family of elliptic curves with positive ranks arising from the Heron triangles
Elliptic curves Ranks Torsion group Heron’s Triangle
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2011/2/28
The aim of this paper is to introduce a new family of elliptic curves with positive ranks.
From $L$-series of elliptic curves to Mahler measures
Mahler measure L-value of elliptic curve hypergeometric series
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2011/1/21
Periods of Quadratic Twists of Elliptic Curves
Periods Quadratic Twists of Elliptic Curves
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2011/1/17
In this paper we prove a relation between the period of an elliptic curve and the period of its real and imaginary quadratic twists. This relation is often misstated in the literature.
About some family of elliptic curves
some family elliptic curves
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2011/1/20
We examine the moduli space E = T of complex tori T() =C/L() where L() = const · 2()L . We find that the Dedekind eta function furnishes a bridge between the euclidean and hyperbolic structur...
Vector bundles on elliptic curves and factors of automorphy
elliptic curves factors of automorphy
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2010/12/8
We translate the Atiyah’s results on classification of vector bundles on elliptic curves to the language of factors of automorphy.