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arXiv · 0710.4395

The base components of the dualizing sheaf of a curve on a surface

Kazuhiro Konno·Margarida Mendes Lopes
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Abstract

This note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the divisorial fixed part F of the dualizing sheaf is non empty then it has arithmetic genus<1 and each component of F is a smooth rational curve.

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Kazuhiro Konno, Margarida Mendes Lopes. 2007-10-24. The base components of the dualizing sheaf of a curve on a surface. https://arxiv.org/abs/0710.4395

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