Bulletin of the Belgian Mathematical Society - Simon Stevin

Seshadri constants and surfaces of minimal degree

Wioletta Syzdek and Tomasz Szemberg

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Abstract

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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 16, Number 5 (2009), 933-959.

Dates
First available in Project Euclid: 9 December 2009

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1260369409

Digital Object Identifier
doi:10.36045/bbms/1260369409

Mathematical Reviews number (MathSciNet)
MR2574355

Zentralblatt MATH identifier
1183.14061

Citation

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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