English

A case of the generalized vanishing conjecture

Algebraic Geometry 2018-01-16 v1

Abstract

In this paper, we show that the GVC (generalized vanishing conjecture) holds for the differential operator Λ=(xΦ(y))y\Lambda=(\partial_x-\Phi(\partial_y))\partial_y and all polynomials P(x,y)P(x,y), where Φ(t)\Phi(t) is any polynomial over the base field. The GVC arose from the study of the Jacobian conjecture.

Cite

@article{arxiv.1801.04563,
  title  = {A case of the generalized vanishing conjecture},
  author = {Zhenzhen Feng and Xiaosong Sun},
  journal= {arXiv preprint arXiv:1801.04563},
  year   = {2018}
}
R2 v1 2026-06-22T23:44:42.493Z