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Introduction to Singularities and Deformations

By Gert-Martin Greuel

Introduction to Singularities and Deformations

By Gert-Martin Greuel

0 - Default Title
Description
This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. The authors develop the relevant techniques, including the Weierstraß preparation theorem, the finite coherence theorem, etc., and then discuss isolated hypersurface and plane curve singularities, including the finite determinacy, classification of simple singularities, topological and analytic invariants, and resolution. In the local deformation theory emphasis is placed on the issues of the versality, obstructions, and equisingular deformations. The book includes a thorough treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum based on deformations of the parametrization.
Product details
Edition:
2
Number of Pages:
736
Release Date:
2025-10-04
Publication Date:
2025-10-04
Publisher:
Springer
Languages:
Original: English
ISBN10:
303186042X
ISBN13:
9783031860423
GPSR Manufacturer Reference:
[email protected]
Weight:
1254 g
Height:
160 cm
Width:
241 cm
Thickness:
45 cm
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