On the topological index of irregular surfaces

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We study the topological index of some irregular surfaces that we call generalized Lagrangian. We show that under certain hypotheses on the base locus of the Lagrangian system the topological index is non-negative. For the minimal surfaces of general type with q=4 and p_g=5 we prove the same statement without any hypotheses. Some similar results for higher dimensional varieties are given.
26 pages, to appear in Journal of Algebraic Geometry

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Algebraic Geometry, 14J80; 14J29; 14J40

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http://salesiana.dossiersoluciones.com/handle/123456789/111592

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604364
 http://arxiv.org/abs/math/0604364

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arXiv