论文题目:Sparse Difference Resultant
论文作者:Wei Li(李伟), Chun-Ming Yuan(袁春明), Xiao-Shan Gao(高小山)
论文摘要:In this paper, the concept of sparse difference resultant for a transformally essential system of difference polynomials is introduced and its properties are proved. In particular, order and degree bounds for sparse difference resultant are given. Based on these bounds, an algorithm to compute the sparse difference resultant is proposed, which is single exponential in terms of the number of variables, the Jacobi number, and the size of the transformally essential system. Also, the precise order, degree, a determinant representation, and a Poisson-type product formula for difference resultants are given.
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