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arXiv · 1801.04563

A case of the generalized vanishing conjecture

Zhenzhen Feng·Xiaosong Sun
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Abstract

In this paper, 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.

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Zhenzhen Feng, Xiaosong Sun. 2018-01-14. A case of the generalized vanishing conjecture. https://arxiv.org/abs/1801.04563

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