搜索结果: 1-15 共查到“偏微分方程 curves”相关记录39条 . 查询时间(0.149 秒)
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
2023/4/13
Equidistribution is an important theme in number theory. The Sato-Tate conjecture, which was established by Richard Taylor et.al. in 2008, asserts that given an elliptic curve over Q without complex m...
ESSENTIAL DIMENSION OF MODULI OF CURVES AND OTHER ALGEBRAIC STACKS (WITH AN APPENDIX BY NAJMUDDIN FAKHRUDDIN)
ESSENTIAL DIMENSION OTHER ALGEBRAIC STACKS
2015/9/29
In this paper we consider questions of the following type.
Let k be a base eld and K=k be a eld extension. Given a geometric
object X over a eld K (e.g. a smooth curve of genus g) what is the
le...
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
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
2015/7/14
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with
speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that
correspond to the number of degre...
In the study of the geometry of curves on surfaces, the following
question often arises: given a one-parameter family of divisors over a pointed
curve, what does the central ber look like after sta...
On the Frequency of Finitely Anomalous Elliptic Curves
Elliptic Curves Galois Representations Number Theory
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
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
2011/2/28
The aim of this paper is to introduce a new family of elliptic curves with positive ranks.
The Plateau problem for polygonal boundary curves in Minkowski 3-space
maximal immersions with singularities integrable systems
2011/2/21
We apply Garnier’s method to solve the Plateau problem for maximal surfaces in Minkowski 3-space. Our study relies on the improved version we gave in [4] of Garnier’s resolution [12] of the Plateau pr...
We prove that the Chow quotient parametrizing configurations of n points in Pd which generically lie on a rational normal curve is isomorphic to M0,n, generalizing the well-known d = 1 result of Kapra...
This is the first in a projected series of three papers in which we construct the second flip in the log minimal model program for Mg. We introduce the notion of a weakly proper algebraic stack.
From $L$-series of elliptic curves to Mahler measures
Mahler measure L-value of elliptic curve hypergeometric series
2011/1/21
We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conductors 20 and 24. We also present new hyper-geometric expressions for L-values of CM elliptic curves o...
Determinantal representation and subschemes of general plane curves
Determinantal representation subschemes of general plane curves
2011/2/21
Let M = (mij ) be an n × n square matrix of integers. For our purposes, we can assume without loss of generality that M is homogeneous and that the entries are non-increasing going leftward and downwa...
Characteristic numbers of rational nodal curves in $\mathbb{P}^3$
Characteristic numbers of rational nodal $\mathbb{P}^3$
2011/1/19
In this paper we compute the number of rational curves with one node passing through a given number of points, lines and tangent to a given number of planes in P3.
Noncommutative Tate curves
ate curves UHF-algebras
2011/1/17
It is proved, that the homology group of the Tate curve is the Pontryagin dual to the K-theory of the UHF-algebras.