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
Contributor(s): Harris, Adam  (author)orcid ; Miyajima, Kimio (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
Place of Publication: Hackensack, United States of America
ISBN: 9789814596053
9789814596039
Field of Research (FOR): 010102 Algebraic and Differential Geometry
HERDC Category Description: B1 Chapter in a Scholarly Book
Other Links: http://trove.nla.gov.au/version/208505316
Statistics to Oct 2018: Visitors: 95
Views: 94
Downloads: 0
Appears in Collections:Book Chapter

Files in This Item:
3 files
File Description SizeFormat 
Show full item record

Page view(s)

40
checked on May 3, 2019
Google Media

Google ScholarTM

Check

Altmetric


Items in Research UNE are protected by copyright, with all rights reserved, unless otherwise indicated.