Polynomial maps with constant Jacobian
Copyright policy )Polynomial maps with constant Jacobian
It has been long conjectured that ifn polynomialsf 1, …,f n inn variables have a (non-zero) constant Jacobian determinant then every polynomial can be expressed as a polynomial inf 1, …,f n. In this paper, various extra assumptions (particularly whenn=2) are shown to imply the conclusion. These conditions are discussed algebraically and geometrically.
- University of Maryland, College Park United States
- University of Maryland, College Park United States
Polynomial rings and ideals; rings of integer-valued polynomials, Jacobians, Prym varieties, Jacobian Determinant, Polynomials in general fields (irreducibility, etc.), Bases in Polynomial Rings, Polynomials over commutative rings
Polynomial rings and ideals; rings of integer-valued polynomials, Jacobians, Prym varieties, Jacobian Determinant, Polynomials in general fields (irreducibility, etc.), Bases in Polynomial Rings, Polynomials over commutative rings
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