Czechoslovak Mathematical Journal, first online, pp. 1-8
On the generalized vanishing conjecture
Zhenzhen Feng, Xiaosong Sun
Received January 26, 2018. Published online May 24, 2019.
Abstract: 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.