A lower bound on Seshadri constants of hyperplane bundles on threefolds

Mathematics – Algebraic Geometry

Scientific paper

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9 pages. To appear in Math. Zeit

Scientific paper

We give the lower bound on Seshadri constants for the case of very ample line
bundles on threefolds. We consider the situation when the Seshadri constant is
strictly less than 2 and give a version of Bauer's theorem \cite[Theorem
2.1]{B1} for singular surfaces so we can prove the same result for smooth
threefolds.

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