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arXiv · 0902.4069

L'application cotangente des surfaces de type general

Xavier Roulleau
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Abstract

We study surfaces of general type $S$ whose cotangent sheaf is generated by its global sections. We define a map called the cotangent map of $S$ that enables us to understand the obstructions to the ampleness of the cotangent sheaf of $S$. These obstructions are curves on $S$ that we call "non-ample". We classify surfaces with an infinite number of non-ample curves and we partly classify the non-ample curves.

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Xavier Roulleau. 2009-02-24. L'application cotangente des surfaces de type general. https://doi.org/10.1007/s10711-009-9364-3

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