A note on the Jacobian Conjecture |
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Authors: | Dan Yan |
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Institution: | School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | In this note, we show that, if the Druzkowski mappings F(X)=X+(AX)∗3, i.e. F(X)=(x1+(a11x1+?+a1nxn)3,…,xn+(an1x1+?+annxn)3), satisfies TrJ((AX)∗3)=0, then where δ is the number of diagonal elements of A which are equal to zero. Furthermore, we show the Jacobian Conjecture is true for the Druzkowski mappings in dimension ?9 in the case . |
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Keywords: | Primary 14E05 Secondary 14A05 14R15 |
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