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On rational maps from a general surface in to surfaces of general type
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Lucio Guerra
Published/Copyright:
May 21, 2008
Abstract
We study dominant rational maps from a general surface in 
to surfaces of general type. We prove restrictions on the target surfaces, and special properties of these rational maps. We show that for small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.
Received: 2006-12-21
Revised: 2007-06-02
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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Articles in the same Issue
- A Kantor family admitting a normal F-factor constitutes a p-group
- Planar compact sets whose intersections are starshaped via orthogonally convex paths
- An improvement of a theorem of Van de Ven
- Quadratic modules of polynomials in two variables
- On arithmetic Zariski pairs in degree 6
- Ample vector bundles with zero loci of small Δ-genera
- Defect and Hodge numbers of hypersurfaces
- On rational maps from a general surface in to surfaces of general type
- Location of radial centres of convex bodies
