On the generalized vanishing conjecture
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1061-1068
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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
Keywords: Jacobian conjecture; generalized vanishing conjecture; differential operator
@article{10_21136_CMJ_2019_0049_18,
author = {Feng, Zhenzhen and Sun, Xiaosong},
title = {On the generalized vanishing conjecture},
journal = {Czechoslovak Mathematical Journal},
pages = {1061--1068},
year = {2019},
volume = {69},
number = {4},
doi = {10.21136/CMJ.2019.0049-18},
mrnumber = {4039620},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0049-18/}
}
TY - JOUR AU - Feng, Zhenzhen AU - Sun, Xiaosong TI - On the generalized vanishing conjecture JO - Czechoslovak Mathematical Journal PY - 2019 SP - 1061 EP - 1068 VL - 69 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0049-18/ DO - 10.21136/CMJ.2019.0049-18 LA - en ID - 10_21136_CMJ_2019_0049_18 ER -
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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