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Sparse Differential Resultant for Laurent Differential Polynomials
Sparse differential resultant Laurent differential polynomial differentially essential system Jacobi number differential toric variety Poisson-type product formula BKK bound differential dimension conjecture single exponential algorithm
2013/9/9
In this paper, we first introduce the concept of Laurent differentially essential systems and give a criterion for Laurent differentially essential systems in terms of their supports.Then the sparse d...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Intersection Theory for Generic Differential Polynomials and Differential Chow Form
Generic Differential Polynomials Differential Chow Form
2010/11/26
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...
INTERSECTION THEORY FOR GENERIC DIFFERENTIAL POLYNOMIALS AND DIFFERENTIAL CHOW FORM
Differential Chow form differential Chow variety differential resultant dimension conjecture intersection theory generic differential polynomials
2013/9/9
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...
Uniqueness for meromorphic functions and differential polynomials
Uniqueness meromorphic function differential polynomials
2010/2/25
In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials and prove the following result: Let f and g be two transcendental meromorphic functio...
Decomposition of Differential Polynomials with Constant Coefficients
differential polynomial decomposition pseudo linear differential degree
2013/9/9
In this paper, we present an algorithm to decompose differential polynomials in one variable and with rational number as coefficients. Besides arithmetic operations, the algorithm needs only factoriza...