Vol. 164, No. 1, 1994

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Branched coverings of surfaces with ample cotangent bundle

Michael Jerome Spurr

Vol. 164 (1994), No. 1, 129–146
Abstract

Let f : X Y be a branched covering of compact complex surfaces, where the ramification set in X consists of smooth curves meeting with at most normal crossings and Y has ample cotangent bundle. We further assume that f is locally of form (u,v) (un,vm). We characterize ampleness of TX. A class of examples of such X, which are branched covers of degree two, is provided.

Mathematical Subject Classification 2000
Primary: 14E22
Secondary: 14J25, 14J29, 14J60
Milestones
Received: 4 June 1991
Published: 1 May 1994
Authors
Michael Jerome Spurr