Degeneration of Curves and Analytic Deformations

  • Tomohide Terasoma
  • Published 1998

Abstract

Let ∆ be a complex disk {z ∈ C || z |< 1} and p : D → ∆ be a proper flat morphism of relative dimension one. It is called a minimal degeneration of genus g curves, if (1) D is smooth, (2) the restriction p : p(∆− {0}) is a smooth family of genus g curves, and (3) the fiber p(0) contains no smooth rational curves of the first kind. By choosing a metric μ on… (More)

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