The Noether exponent and Jacobi formula

Mathematics – Algebraic Geometry

Scientific paper

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5 pages, AmS-TeX

Scientific paper

For any polynomial mapping $F=(F_1,\dots ,F_n)$ of $\Cal C^n$ with a finite
number of zeros we define the Noether exponent $\nu(F)$. We prove the Jacobi
formula for all polynomials of degree strictly less than $\sum_{i=1}^n (\deg
F_i-1)-\nu(F)$.

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