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On relations between Jacobians and resultants of polynomials in two variables

Published online by Cambridge University Press:  17 April 2009

Takis Sakkalis
Takis Sakkalis
Affiliation:
Department of Mathematical, Sciences Oakland University Rochester MI, 48309, United States of America
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This paper investigates some of the connections between the zeros of a polynomial vector field F = (f, g): ℂ2 ← ℂ2 and the Jacobian determinant J(f, g) of f and g. As a consequence, sufficient conditions are given for F to have no zeros. In addition, in the case where F has an inverse F−1, it is proven that F−1 is also polynomial.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 3 , June 1993 , pp. 473 - 481
Copyright
Copyright © Australian Mathematical Society 1993

References

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