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arxiv: 0709.2592 · v1 · submitted 2007-09-17 · 🧮 math.AG

Seshadri fibrations of algebraic surfaces

classification 🧮 math.AG
keywords seshadriconstantssurfacesalgebraicamplebundlesemergesfibration
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We refine results of Hwang, Keum and Szemberg, Tutaj-Gasinska which relate local invariants - Seshadri constants - of ample line bundles on surfaces to the global geometry - fibration structure. We show that the same picture emerges when looking at Seshadri constants measured at any finite subset of the given surface.

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