Multiple Planes Ramified over One-place Curves

Peter Russell

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 673-685 from Springer

Abstract: Abstract At Abhyankar’s birthday conference I talked about the topology of the complement of a system C 1,…,C r of smooth one-place curves with normal crossing in the affine plane ℂ2. This has been written up in [R2]. The motivation came from [KR1], where we study “multi-cyclic” covers S of ℂ2 ramified over the C i. These topological results have consequences for the topology of S. As a sequel to [R2], we propose in this note to calculate the logarithmic Kodaira dimension κ of S. The main results are as follows.

Date: 2004
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DOI: 10.1007/978-3-642-18487-1_40

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