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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Hirzebruch–Kummer covers of algebraic surfaces

Piotr POKORA
Pages
412–421
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis:The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces andHirzebruch–Kummer covers, one cannot construct new examples of ball-quotients, i.e. minimal smooth complex projectivesurfaces of general type satisfying equality in the Bogomolov–Miyaoka–Yau inequality.
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Key Findings & Data:The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces andHirzebruch–Kummer covers, one cannot construct new examples of ball-quotients, i.e. minimal smooth complex projectivesurfaces of general type satisfying equality in the Bogomolov–Miyaoka–Yau inequality.
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Conclusion & Impact:The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces andHirzebruch–Kummer covers, one cannot construct new examples of ball-quotients, i.e. minimal smooth complex projectivesurfaces of general type satisfying equality in the Bogomolov–Miyaoka–Yau inequality.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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

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Cite This Article

POKORA, P. (2022). Hirzebruch–Kummer covers of algebraic surfaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 412–421. https://ajindex.com/articles/607677

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