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On a theorem of Kas and Schlessinger. (English) Zbl 1256.32011

Jiang, Yunping (ed.) et al., Quasiconformal mappings, Riemann surfaces, and Teichmüller spaces. AMS special session in honor of Clifford J. Earle, Syracuse, NY, USA, October 2–3, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5340-5/pbk; 978-0-8218-9029-5/ebook). Contemporary Mathematics 575, 13-22 (2012).
Summary: {In the paper [Math. Ann. 196, 23–29 (1972; Zbl 0242.32014)] A. Kas} and M. Schlessinger construct a versal deformation of an analytic space which is a local complete intersection. An immediate corollary of their theorem is that a flat family of nodal curves can be locally obtained as a pullback of the standard family \(xy=t\). In this article, we spell out how this result follows from the theorem of Kas and Schlessinger.
For the entire collection see [Zbl 1245.30002].

MSC:

32G05 Deformations of complex structures
32S30 Deformations of complex singularities; vanishing cycles

Citations:

Zbl 0242.32014
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