Geodesic
On the generalized vanishing conjecture
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1061-1068
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We show that the GVC (generalized vanishing conjecture) holds for the differential operator $\Lambda =(\partial _x-\Phi (\partial _y))\partial _y$ and all polynomials $P(x,y)$, where $\Phi (t)$ is any polynomial over the base field. The GVC arose from the study of the Jacobian conjecture.
We show that the GVC (generalized vanishing conjecture) holds for the differential operator $\Lambda =(\partial _x-\Phi (\partial _y))\partial _y$ and all polynomials $P(x,y)$, where $\Phi (t)$ is any polynomial over the base field. The GVC arose from the study of the Jacobian conjecture.
DOI : 10.21136/CMJ.2019.0049-18
Classification : 13N15, 14R15
Keywords: Jacobian conjecture; generalized vanishing conjecture; differential operator 
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Feng, Zhenzhen; Sun, Xiaosong. On the generalized vanishing conjecture. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1061-1068. doi: 10.21136/CMJ.2019.0049-18

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