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arXiv · 1303.3377

Canonical surfaces with big cotangent bundle

Xavier Roulleau·Erwan Rousseau
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Abstract

Surfaces of general type with positive second Segre number are known to have big cotangent bundle. We give a new criterion ensuring that a surface of general type with canonical singularities has a minimal resolution with big cotangent bundle. This provides many examples of surfaces with negative second Segre number and big cotangent bundle.

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Xavier Roulleau, Erwan Rousseau. 2013-03-14. Canonical surfaces with big cotangent bundle. https://doi.org/10.1215/00127094-2681496

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