Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Introduction to Singularities and Deformations

Introduction to Singularities and Deformations

Greuel, Gert-Martin
Lossen, Christoph
Shustin, Eugenii I.

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeometry

ISBN10: 303186042X
ISBN13: 9783031860423
Publisher: Springer
Published: Oct 4 2025
Pages: 717
Weight: 2.64
Height: 1.56 Width: 6.14 Depth: 9.21
Language: English

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 Weierstra 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.

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