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arxiv: 1801.04563 · v1 · pith:XMULJFMYnew · submitted 2018-01-14 · 🧮 math.AG

A case of the generalized vanishing conjecture

classification 🧮 math.AG
keywords conjecturepartialgeneralizedvanishingarosebasecasedifferential
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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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