Pulling back singularities of codimension one objects
| dc.contributor.author | Giraldo, Luis | |
| dc.contributor.author | Roeder, Roland K. | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2020-11-20T18:11:49Z | |
| dc.date.available | 2020-11-20T18:11:49Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We prove that the preimage of a germ of a singular analytic hypersurface under a germ of a finite holomorphic map $ g: (\mathbb{C}^n,{\bm 0}) \rightarrow (\mathbb{C}^n,{\bm 0})$ is again singular. This provides a generalization of previous results of this nature by Ebenfelt-Rothschild [Comm. Anal.Geom. 15 (2007), no. 2, 491-507], Lebl [ArXiv preprint https://arxiv.orglabs/0812-2498], and Denkowski [Manuscripta Math. 149 (2016), no. 1-2, 83-91]. The same statement is proved for pullbacks of singular codimension one holomorphic foliations. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Giraldo, L., & Roeder, R. (2020). Pulling back singularities of codimension one objects. Proceedings of the American Mathematical Society, 148(3), 1207–1217. https://doi.org/10.1090/proc/14787 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/24455 | |
| dc.language.iso | en | en_US |
| dc.publisher | AMS | en_US |
| dc.relation.isversionof | 10.1090/proc/14787 | en_US |
| dc.relation.journal | Proceedings of the American Mathematical Society | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | Author | en_US |
| dc.subject | singular codimension | en_US |
| dc.subject | one holomorphic foliations | en_US |
| dc.subject | analytic hypersurfaces | en_US |
| dc.title | Pulling back singularities of codimension one objects | en_US |
| dc.type | Conference proceedings | en_US |