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

Hirzebruch-Kummer covers of algebraic surfaces

Sayfa
412–421
Yayın Tarihi
2019-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ball-quotients · Hirzebruch surfaces · surfaces of general type

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.

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Bu Makaleye Atıf Yap

POKORA, P. (2019). Hirzebruch-Kummer covers of algebraic surfaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 412–421. https://ajindex.com/articles/218059

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