Notes on automorphisms of surfaces of general type with pg = 0 and K2 = 7

Yifan Chen

doi:10.1017/nmj.2016.24

Notes on automorphisms of surfaces of general type with p_g = 0 and K₂ = 7

Yifan Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

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

1 Scopus citations

Abstract

Let S be a smooth minimal complex surface of general type with p_g = 0 and K² = 7. We prove that any involution on S is in the center of the automorphism group of S. As an application, we show that the automorphism group of an Inoue surface with K² = 7 is isomorphic to ℤ₂² or ℤ₂ × ℤ₄. We construct a 2-dimensional family of Inoue surfaces with automorphism groups isomorphic to ℤ₂ × ℤ₄.

Original language	English
Pages (from-to)	66-86
Number of pages	21
Journal	Nagoya Mathematical Journal
Volume	223
DOIs	https://doi.org/10.1017/nmj.2016.24
State	Published - 1 Sep 2016

Access to Document

10.1017/nmj.2016.24

Cite this

@article{f9c5b1e4c7f44656af649fd066f5b20e,

title = "Notes on automorphisms of surfaces of general type with pg = 0 and K2 = 7",

abstract = "Let S be a smooth minimal complex surface of general type with pg = 0 and K2 = 7. We prove that any involution on S is in the center of the automorphism group of S. As an application, we show that the automorphism group of an Inoue surface with K2 = 7 is isomorphic to ℤ22 or ℤ2 × ℤ4. We construct a 2-dimensional family of Inoue surfaces with automorphism groups isomorphic to ℤ2 × ℤ4.",

author = "Yifan Chen",

note = "Publisher Copyright: {\textcopyright} 2016 by The Editorial Board of the Nagoya Mathematical Journal.",

year = "2016",

month = sep,

day = "1",

doi = "10.1017/nmj.2016.24",

language = "英语",

volume = "223",

pages = "66--86",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Notes on automorphisms of surfaces of general type with pg = 0 and K2 = 7

AU - Chen, Yifan

PY - 2016/9/1

Y1 - 2016/9/1

N2 - Let S be a smooth minimal complex surface of general type with pg = 0 and K2 = 7. We prove that any involution on S is in the center of the automorphism group of S. As an application, we show that the automorphism group of an Inoue surface with K2 = 7 is isomorphic to ℤ22 or ℤ2 × ℤ4. We construct a 2-dimensional family of Inoue surfaces with automorphism groups isomorphic to ℤ2 × ℤ4.

AB - Let S be a smooth minimal complex surface of general type with pg = 0 and K2 = 7. We prove that any involution on S is in the center of the automorphism group of S. As an application, we show that the automorphism group of an Inoue surface with K2 = 7 is isomorphic to ℤ22 or ℤ2 × ℤ4. We construct a 2-dimensional family of Inoue surfaces with automorphism groups isomorphic to ℤ2 × ℤ4.

UR - https://www.scopus.com/pages/publications/85016119120

U2 - 10.1017/nmj.2016.24

DO - 10.1017/nmj.2016.24

M3 - 文章

AN - SCOPUS:85016119120

SN - 0027-7630

VL - 223

SP - 66

EP - 86

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Notes on automorphisms of surfaces of general type with p_g = 0 and K₂ = 7

Abstract

Access to Document

Other files and links

Fingerprint

Cite this