Bulletin of the Belgian Mathematical Society - Simon Stevin

Seshadri constants and surfaces of minimal degree

Wioletta Syzdek and Tomasz Szemberg

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In [11] 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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Bull. Belg. Math. Soc. Simon Stevin, Volume 16, Number 5 (2009), 933-959.

First available in Project Euclid: 9 December 2009

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Syzdek, Wioletta; Szemberg, Tomasz. Seshadri constants and surfaces of minimal degree. Bull. Belg. Math. Soc. Simon Stevin 16 (2009), no. 5, 933--959. doi:10.36045/bbms/1260369409. https://projecteuclid.org/euclid.bbms/1260369409

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