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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
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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
Field of Research (FOR): 010102 Algebraic and Differential Geometry
HERDC Category Description: B1 Chapter in a Scholarly Book
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