Polynomial maps with constant Jacobian
- Michael Razar
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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.
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- Polynomial maps with constant Jacobian
Israel Journal of Mathematics
Volume 32, Issue 2-3 , pp 97-106
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- Michael Razar (1)
- Author Affiliations
- 1. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA