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2006•arXiv (Cornell University)Open access

Linear stability of projected canonical curves with applications to the slope of fibred surfaces

Miguel Ángel Barja, Lidia Stoppino

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Abstract

Let f :S\to B be a non locally trivial fibred surface. We prove a lower bound for the slope of f depending increasingly from the relative irregularity of f and the Clifford index of the general fibres.

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Let f :S\to B be a non locally trivial fibred surface. We prove a lower bound for the slope of f depending increasingly from the relative irregularity of f and the Clifford index of the general fibres.

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Available abstract

Let f :S\to B be a non locally trivial fibred surface. We prove a lower bound for the slope of f depending increasingly from the relative irregularity of f and the Clifford index of the general fibres.

Key concepts: Fibered knot, Surface (topology), Mathematics, Upper and lower bounds, Stability (learning theory), Mathematical analysis, Pure mathematics, Geometry

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