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

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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.
7pp., to appear in Archive der Mathematik

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Algebraic Geometry, 14C20 (Primary) 14J99, 14H45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/140695

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4395
 http://arxiv.org/abs/0710.4395

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arXiv