Local deformation of pencil of curves of genus two (Q1117998)
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scientific article; zbMATH DE number 4093645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local deformation of pencil of curves of genus two |
scientific article; zbMATH DE number 4093645 |
Statements
Local deformation of pencil of curves of genus two (English)
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1988
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Here are studied (locally around a singular fiber) the local deformations of a genus-2 fibration \(g:\quad S\to D,\) D one-dimensional disc; essentially it is proved how certain singular fibers can be splitted by a deformation into a union of a certain number of singular fibers of a given (easier) type. The result is related to the construction of a family of deformations (with simultaneous resolution) of elliptic double points.
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local deformations of a genus-2 fibration
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elliptic double points
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