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Seshadri Constants and the geometry of surfaces

Michael Nakamaye
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Abstract

We examine how the Seshadri constant of an ample line bundle at a very general point of an algebraic surface can carry important global geometric information about the surface. In particular, we obtain a numerical criterion for when a surface admits a dominant map to an algebraic curve.

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Michael Nakamaye. 2003-01-22. Seshadri Constants and the geometry of surfaces. https://arxiv.org/abs/math/0301251

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