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Hirzebruch–Kummer covers of algebraic surfaces

Hirzebruch-Kummer covers of algebraic surfaces
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Jan 2019Embargo end date: 01 Jan 2018Publisher:The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALSJournal:TURKISH JOURNAL OF MATHEMATICS, volume 43, pages 412-421 (eissn: 1303-6149, Copyright policy )
Authors: Piotr POKORA;

doi: 10.3906/mat-1808-22 , 10.48550/arxiv.1805.01215

arXiv: 1805.01215

Hirzebruch–Kummer covers of algebraic surfaces

Abstract

The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces and Hirzebruch-Kummer covers one cannot construct new examples of ball-quotients, i.e., minimal smooth complex projective surfaces of general type satisfying equality in the Bogomolov-Miyaoka-Yau inequality.

12 pages, to appear in Turkish Journal of Mathematics

Keywords

Surfaces of general type, Configurations and arrangements of linear subspaces, Mathematics - Algebraic Geometry, 14C20, 14N20, 14J29, ball-quotients, Hirzebruch-Kummer covers, FOS: Mathematics, Algebraic Geometry (math.AG), curve configurations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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gold