Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/15356
Title: | Involutive deformations of the regular part of a normal surface |
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Contributor(s): | Harris, Adam (author)![]() |
Publication Date: | 2014 |
DOI: | 10.1142/9789814596046_0004 |
Handle Link: | https://hdl.handle.net/1959.11/15356 |
Abstract: | We define the property of involutivity for deformations of complex structure on a manifold X, with particular reference to the regular part of a normal surface. Our main result is a sufficient condition for involutivity in terms of a "Ə-Cartan formula", previously examined in [3] in the more special context of cone singularities. By way of examples we show that some involutive deformations of the regular part determine a subspace, if not the entire versal space, of flat deformations of normal surface singularities, while others may determine Stein surfaces which lie outside the versal space of flat deformations of a given normal surface. |
Publication Type: | Book Chapter |
Source of Publication: | Topics on Real and Complex Singularities, p. 51-59 |
Publisher: | World Scientific Publishing Company |
Place of Publication: | Hackensack, United States of America |
ISBN: | 9789814596053 9789814596039 |
Fields of Research (FoR) 2008: | 010102 Algebraic and Differential Geometry |
Fields of Research (FoR) 2020: | 490402 Algebraic and differential geometry |
Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences |
Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences |
HERDC Category Description: | B1 Chapter in a Scholarly Book |
Publisher/associated links: | http://trove.nla.gov.au/version/208505316 |
Editor: | Editor(s): Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Isaev |
Appears in Collections: | Book Chapter |
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