L'application cotangente des surfaces de type general

Details L'application cotangente des surfaces de type general L'application cotangente des surfaces de type general

2009-02-24

arxiv.org/abs/0902.4069v1

Geom. Dedicata (2009) 142: 151-171

Mathematics

Algebraic Geometry

21 pages

Scientific paper

10.1007/s10711-009-9364-3

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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