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Involutive deformations of the regular part of a normal surface |
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Editor(s): Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Isaev |
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World Scientific Publishing Company |
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Hackensack, United States of America |
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10.1142/9789814596046_0004 |
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| Abstract |
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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. |
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Topics on Real and Complex Singularities, p. 51-59 |
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