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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
Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III

Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III

Takamura, Shigeru

Paperback

Series: Lecture Notes in Mathematics, Book 1886

AlgebraGeneral MathematicsGeometry

ISBN10: 3540333630
ISBN13: 9783540333630
Publisher: Springer Nature
Published: Jul 26 2006
Pages: 594
Weight: 1.86
Height: 1.24 Width: 6.14 Depth: 9.21
Language: English

The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration. He constructs a deformation of the degeneration in such a way that a subdivisor is barked (peeled) off from the singular fiber. These barking deformations are related to deformations of surface singularities (in particular, cyclic quotient singularities) as well as the mapping class groups of Riemann surfaces (complex curves) via monodromies. Important applications, such as the classification of atomic degenerations, are also explained.

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