Seshadri constants and surfaces of minimal degree

Details Seshadri constants and surfaces of minimal degree Seshadri constants and surfaces of minimal degree

2008-06-08

arxiv.org/abs/0806.1351v1

Mathematics

Algebraic Geometry

7 pages, to appear in proceedings of the Ghent conference " Linear systems and subschemes"

Scientific paper

In "Seshadri fibrations of algebraic surfaces" [arXiv:0709.2592v1] we showed that if the multiple point Seshadri constants of an ample line bundle on a smooth projective surface in very general points satisfy certain inequality then the surface is fibred by curves computing these constants. Here we characterize the border case of polarized surfaces whose Seshadri constants in general points fulfill the equality instead of inequality and which are not fibred by Seshadri curves. It turns out that these surfaces are the projective plane and surfaces of minimal degree.

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