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Canonical surfaces with big cotangent bundle

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.

preprint2013arXivOpen access
Xavier RoulleauErwan Rousseau
math.CVmath.AG
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Xavier RoulleauErwan Rousseau

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