关于无分支平面自映射紧化的消解
代数几何
2012-04-12 v4
摘要
我们利用双有理代数几何的技术以及一些与加权树相关的组合论证，研究了二维 Jacobian 猜想假设反例的紧化解的结构。我们特别获得了此类映射的 Stein 分解的详细结果。我们希望我们的方法能激励更多双有理几何学家认真致力于 Jacobian 猜想的研究。
引用
@article{arxiv.1110.5118,
title = {On Resolution of Compactifications of Unramified Planar Self-maps},
author = {Alexander Borisov},
journal= {arXiv preprint arXiv:1110.5118},
year = {2012}
}
备注
This is a major revision. The proof of the result of Domrina is rescinded due to a mistake. The paper is significantly expanded to include a number of new results and methods, including the determinants of weighted trees as well as some relevant adjunction and inversion of adjunction