Surjective derivations in small dimensions
Algebraic Geometry
2012-11-06 v1
Abstract
Inspired by a result of D. Cerveau on surjective derivations on a polynomial ring in two variables over a complex number field C, we consider a surjective derivation defined on an affine domain over C of dimension one or two. Though our proofs are mostly algebraic or algebro-geometric, the idea using a result of Dimca-Saito which is behind the arguments of Cerveau and based on the differential complex of the polynomial ring in n variables is inspiring and affects our arguments.
Cite
@article{arxiv.1211.0744,
title = {Surjective derivations in small dimensions},
author = {R. V. Gurjar and K. Masuda and M. Miyanishi},
journal= {arXiv preprint arXiv:1211.0744},
year = {2012}
}
Comments
27 pages