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On surfaces with pg = 2q – 3
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Margarida Mendes Lopes
Published/Copyright:
April 13, 2010
Abstract
We study minimal complex surfaces S of general type with q(S) = q and pg(S) = 2q – 3, q ≥ 5. We give a complete classification in case that S has a fibration onto a curve of genus ≥ 2. For these surfaces K2 = 8χ. In general we prove that K2 ≥ 7χ – 1 and that the stronger inequality K2 ≥ 8χ holds under extra assumptions (e.g., if the canonical system has no fixed part or the canonical map has even degree).
We also describe the Albanese map of S.
Received: 2008-04-25
Revised: 2008-08-20
Published Online: 2010-04-13
Published in Print: 2010-July
© de Gruyter 2010
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Articles in the same Issue
- On the characteristic direction of real hypersurfaces in and a symmetry result
- Small maximal partial spreads in classical finite polar spaces
- On antipodes on a convex polyhedron II
- On the quadratic normality and the triple curve of three-dimensional subvarieties of
- A generalization of the Giulietti–Korchmáros maximal curve
- Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs
- Generalized polygons with non-discrete valuation defined by two-dimensional affine ℝ-buildings
- Measures on the space of convex bodies
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- The real quadrangle of type E6
- Triple-point defective surfaces
- On surfaces with pg = 2q – 3
- A counter example to an ideal membership test
