Siegel's theorem on integral points and the Jacobian conjecture over the rational field
| Autor: | Van Chau, Nguyen |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | It is shown that a polynomial map $(P,Q)\in \mathbb{Q}[x,y]^2$ with $P_xQ_y-P_yQ_x \equiv 1$ has an inverse map in $\mathbb{Q}[x,y]^2$ if the fiber $P=0$ contains an infinite subset of $ d^{-1}\mathbb{Z}^2$ for an integer $d$. Comment: Some reference information added |
| Databáze: | arXiv |
| Externí odkaz: |
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