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|Title:||Involutive deformations of the regular part of a normal surface||Contributor(s):||Harris, Adam (author) ; 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  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
|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
|Appears in Collections:||Book Chapter|
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