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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Application of algebraic curve theory to integrable systems
代数曲线理论 可积系统 紧黎曼曲面
2023/5/5
An elliptic curve test of the L-Functions Ratios Conjecture
An elliptic curve test the L-Functions Ratios Conjecture
2010/11/19
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in the 1-level densit...
On the Modular Curve X(6) and Surfaces Admitting Genus 2 Fibrations
Fibrations moduli spaces
2010/3/1
In this paper, we study the moduli spaces of surfaces admitting nonsmooth genus 2 fibrations with slope l = 6 (necessarily) over curves of genus \geq 1. We determine the structure of each connected co...
The main result of this paper is the proof of the "transversal part" of the homological mirror symmetry conjecture for an elliptic curve which states an equivalence of two $A_{\infty}$-structures on ...