Construction of hyperbolic Horikawa surfaces

Yuchen Liu

doi:10.5802/aif.3169

Construction of hyperbolic Horikawa surfaces

Yuchen Liu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We construct a Brody hyperbolic Horikawa surface that is a double cover of P2 branched along a smooth curve of degree 10. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.

Original language	English (US)
Pages (from-to)	541-561
Number of pages	21
Journal	Annales de l'Institut Fourier
Volume	68
Issue number	2
DOIs	https://doi.org/10.5802/aif.3169
State	Published - 2018
Externally published	Yes

Keywords

Brody hyperbolicity
Cyclic covers
Horikawa surfaces

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/aif.3169

Cite this

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title = "Construction of hyperbolic Horikawa surfaces",

abstract = "We construct a Brody hyperbolic Horikawa surface that is a double cover of P2 branched along a smooth curve of degree 10. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.",

keywords = "Brody hyperbolicity, Cyclic covers, Horikawa surfaces",

author = "Yuchen Liu",

note = "Funding Information: Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers. 2010 Mathematics Subject Classification: 32Q45, 14J29. (*) The author was partially supported by NSF Grant DMS-1362960. Publisher Copyright: {\textcopyright} Association des Annales de l'institut Fourier, 2018, Certains droits r{\'e}serv{\'e}s.",

year = "2018",

doi = "10.5802/aif.3169",

language = "English (US)",

volume = "68",

pages = "541--561",

journal = "Annales de l'Institut Fourier",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

number = "2",

}

TY - JOUR

T1 - Construction of hyperbolic Horikawa surfaces

AU - Liu, Yuchen

N1 - Funding Information: Keywords: Brody hyperbolicity, Horikawa surfaces, cyclic covers. 2010 Mathematics Subject Classification: 32Q45, 14J29. (*) The author was partially supported by NSF Grant DMS-1362960. Publisher Copyright: © Association des Annales de l'institut Fourier, 2018, Certains droits réservés.

PY - 2018

Y1 - 2018

N2 - We construct a Brody hyperbolic Horikawa surface that is a double cover of P2 branched along a smooth curve of degree 10. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.

AB - We construct a Brody hyperbolic Horikawa surface that is a double cover of P2 branched along a smooth curve of degree 10. We also construct Brody hyperbolic double covers of Hirzebruch surfaces with branch loci of the lowest possible bidegree.

KW - Brody hyperbolicity

KW - Cyclic covers

KW - Horikawa surfaces

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UR - http://www.scopus.com/inward/citedby.url?scp=85047444688&partnerID=8YFLogxK

U2 - 10.5802/aif.3169

DO - 10.5802/aif.3169

M3 - Article

AN - SCOPUS:85047444688

SN - 0373-0956

VL - 68

SP - 541

EP - 561

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 2

ER -

Construction of hyperbolic Horikawa surfaces

Abstract

Keywords

ASJC Scopus subject areas

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