A Valuation Theoretic Approach to the Jacobian Conjecture

Details A Valuation Theoretic Approach to the Jacobian Conjecture A Valuation Theoretic Approach to the Jacobian Conjecture

2007-06-08

arxiv.org/abs/0706.1138v51

Mathematics

Commutative Algebra

p.11, Several statements are revised for being easily understadable but the main stream is unchanged. Please read the proof of

Scientific paper

Our final target is a faded result, the Jacobian Conjecture : If $f_1,...,
f_n$ be elements in a polynomial ring $k[X_1,..., X_n]$ over a field $k$ of
characteristic zero such that $ \det(\partial f_i/ \partial X_j) $ is a nonzero
constant, then $k[f_1,..., f_n] = k[X_1,..., X_n]$.

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