Journal of Algebraic Geometry

Author(s): M. A. Barja; J. C. Naranjo; G. P. Pirola
Journal: J. Algebraic Geom. 16 (2007), 435-458.
Posted: December 26, 2006
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Abstract: 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

and

we prove the same statement without any hypothesis.

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M. A. Barja
Affiliation: Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, ETSEIB Avda. Diagonal 647, 08028 Barcelona, Spain
Email: Miguel.Angel.Barja@upc.edu

J. C. Naranjo
Affiliation: Departament d'Àlgebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via, 585, 08007 Barcelona, Spain
Email: jcnaranjo@ub.edu

G. P. Pirola
Affiliation: Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, 27100 Pavia, Italy
Email: pirola@dimat.unipv.it

PII: S 1056-3911(06)00454-1
Received by editor(s): June 1, 2005
Received by editor(s) in revised form: March 20, 2006
Posted: December 26, 2006
Additional Notes: The first author was partially supported by the Proyecto de Investigación BFM2003-06001 and ACI-2003. The second author was partially supported by the Proyecto de Investigación BFM2003-02914 and ACI-2003. The third author was partially supported by (1) PRIN 2003 ``Spazi di moduli e teoria di Lie"; (2) Gnsaga; (3) Far 2004 (PV): Varietà algebriche, calcolo algebrico, grafi orientati e topologici

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