Reduction theorems for the Strong Real Jacobian Conjecture

• Autorzy: L. Andrew Campbell
• Języki publikacji: EN

Abstrakty

EN

Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the case of an identity map plus cubic homogeneous or cubic linear terms, and to the case of gradient maps, are shown to preserve significant algebraic and geometric properties of the maps involved. That permits the separate formulation and reduction, though not so far the solution, of the SRJC for classes of nonsingular polynomial endomorphisms of real n-space that exclude the Pinchuk counterexamples to the SRJC, for instance those that induce rational function field extensions of a given fixed odd degree.

Kategorie tematyczne

• 14E05: Rational and birational maps
• 14R15: Jacobian problem
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 1
• Strony: 1-11

Daty

wydano

2014

Twórcy

autor

L. Andrew Campbell

• 908 Fire Dance Lane, Palm Desert, CA 92211, U.S.A.

Identyfikatory

DOI

10.4064/ap110-1-1