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math.AG2014★ 4 cited
Binomial Difference Ideal and Toric Difference Variety
Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan
In this paper, the concepts of binomial difference ideals and toric difference varieties are defined and their properties are proved. Two canonical representations for Laurent bino…
math.AG2010★ 7 cited
Intersection Theory in Differential Algebraic Geometry: Generic Intersections and the Differential Chow Form
Xiao-Shan Gao, Wei Li, Chun-Ming Yuan
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension and order with…