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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
We first consider the basic theory of algebraic curves, including the compact Riemann surface, Riemann-Hurwitz formula, Baker-Akhiezer function, three kinds of Abelian differentials, the construction ...
Vanishing of algebraic Brauer-Manin obstructions
Hasse principle weak approximation Brauer-Manin obstruction
2011/1/18
Let X be a smooth geometrically integral algebraic variety over a number field k with finitely generated geometric Picard group. We prove that under certain conditions, certain algebraic Brauer-Manin ...
Rank of Projection-Algebraic Representations of Some Differential Operators
Rank of Projection-Algebraic Differential Operators
2010/11/22
The Lie-algebraic method approximates differential operators that are formal polynomials of {1,x,d/dx} by linear operators acting on a finite dimensional space of polynomials. In this paper we prove ...
Relations Among Algebraic Models of 1-Connected Homotopy 3-Types
Braided Crossed modules Cat-groups Simplicial groups Quadratic Modules
2010/2/26
In this paper, we explore the relations among reduced cases of algebraic models for homotopy 3-types for groups such as braided crossed and quadratic modules and reduced simplicial groups with Moore c...