Mathematics – Algebraic Geometry
Scientific paper
2007-10-24
Mathematics
Algebraic Geometry
7pp., to appear in Archive der Mathematik
Scientific paper
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.
Konno Kazuhiro
Lopes Margarida Mendes
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