Downloads provided by UsageCountsOn the slope of fibred surfaces
Barja Yáñez, Miguel Ángel; Zucconi, Franco;
On the slope of fibred surfaces
We give an asymptotically sharp lower bound for the slope $\lambda (f)$ of a fibration $f:S\longrightarrow B$, where $S$ is a surface and $B$ is a curve, if there exists an involution on the general fibre $F$ of $f$. We also construct a new lower bound of $\lambda (f)$ depending increasingly on the irregularity of $S$; as an application of this new bound we have a criteria to control the existence of other fibrations on $S$.
Classificació AMS::14 Algebraic geometry::14D Families, fibrations, Varietats (Matemàtica), Geometry, :14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS], Classificació AMS::14 Algebraic geometry::14H Curves, fibres surfaces, Corbes, Superfícies, fibred surfaces, Geometry, Algebraic, Surfaces, Algebraic, :14 Algebraic geometry::14H Curves [Classificació AMS], Fibrats (Matemàtica), Classificació AMS::14 Algebraic geometry::14D Families, :14 Algebraic geometry::14D Families, fibrations [Classificació AMS], fibrations, Curves, Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Classificació AMS::14 Algebraic geometry::14D Families, fibrations, Varietats (Matemàtica), Geometry, :14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS], Classificació AMS::14 Algebraic geometry::14H Curves, fibres surfaces, Corbes, Superfícies, fibred surfaces, Geometry, Algebraic, Surfaces, Algebraic, :14 Algebraic geometry::14H Curves [Classificació AMS], Fibrats (Matemàtica), Classificació AMS::14 Algebraic geometry::14D Families, :14 Algebraic geometry::14D Families, fibrations [Classificació AMS], fibrations, Curves, Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
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