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On the topological index of irregular surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 Dec 2006Embargo end date: 01 Jan 2006 Spain, Italy Publisher:American Mathematical Society (AMS)Journal:Journal of Algebraic Geometry, volume 16, pages 435-458 (issn: 1056-3911, eissn: 1534-7486,

Authors: Barja Yáñez, Miguel Ángel; Naranjo, J. C.; Pirola, Gian Pietro;

doi: 10.1090/s1056-3911-06-00454-1 , 10.48550/arxiv.math/0604364

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

handle: 2445/197440 , 2117/982 , 11571/135153

On the topological index of irregular surfaces

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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 q = 4 q=4 and p g = 5 p_g=5 we prove the same statement without any hypothesis.

Countries

Spain, Italy

Related Organizations

Universitat Politècnica de Catalunya
Spain
University of Pavia
Italy
University of Barcelona
Spain
Universitat Polite`cnica de Catalunya
Spain
University of Pavia
Italy

Keywords

Superficie Algebriche, 14J80; 14J29; 14J40, 14J40, Varietats (Matemàtica), Homologia, :14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS], Superfícies, 510, Homology, 14J80, Surfaces, Algebraic geometry, Segnatura, Mathematics - Algebraic Geometry, Geometria algebraica, irregular surfaces, FOS: Mathematics, topological index, Srutture Lagrangiane, 14J29, Algebraic Geometry (math.AG), Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average