On submaximal curves in fake projective planes

DOI10.1016/j.jpaa.2021.106709zbMath1470.14075arXiv1910.06743OpenAlexW2980687871MaRDI QIDQ2031571

Piotr Pokora, Halszka Tutaj-Gasińska

Publication date: 9 June 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06743

zbMATH Keywords

ample line bundlesSeshadri constantsfake projective planessubmaximal curves

Mathematics Subject Classification ID

Surfaces of general type (14J29) Divisors, linear systems, invertible sheaves (14C20)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• Remarks on the nef cone on symmetric products of curves
• Enumeration of the 50 fake projective planes
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• Seshadri constants in a family of surfaces
• A relation between one-point and multi-point Seshadri constants
• Discrete behavior of Seshadri constants on surfaces
• A primer on Seshadri constants
• An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
• Exceptional collections and the bicanonical map of Keum’s fake projective planes
• Ample line bundles on smooth surfaces.