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

Hirzebruch–Kummer covers of algebraic surfaces

Piotr POKORA
Sayfa
412–421
Yayın Tarihi
2022-11-04
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 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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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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