A homology plane of general type can have at most a cyclic quotient singularity
Authors:
R. V. Gurjar, M. Koras, M. Miyanishi and P. Russell
Journal:
J. Algebraic Geom. 23 (2014), 1-62
DOI:
https://doi.org/10.1090/S1056-3911-2013-00602-5
Published electronically:
May 29, 2013
MathSciNet review:
3121847
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Abstract |
References |
Additional Information
Abstract: We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist. We also show that the automorphism group of a smooth contractible surface of general type is cyclic.
References
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References
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Additional Information
R. V. Gurjar
Affiliation:
School of Mathematics, Tata Institute for Fundamental Research, 400005 Homi Bhabha Road, Mumbai, India
MR Author ID:
78495
Email:
gurjar@math.tifr.res.in
M. Koras
Affiliation:
Institute of Mathematics, Warsaw University, ul. Banacha 2, Warsaw, Poland
Email:
koras@mimuw.edu.pl
M. Miyanishi
Affiliation:
Research Center for Mathematical Sciences, Kwansei Gakuin University, Hyogo 669-1337, Japan
Email:
miyanisi@kwansei.ac.jp
P. Russell
Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Canada
Email:
russell@math.mcgill.ca
Received by editor(s):
November 26, 2010
Received by editor(s) in revised form:
April 10, 2011, April 12, 2011, and April 14, 2011
Published electronically:
May 29, 2013
Additional Notes:
The first author was supported by the RIP-program at Mathematisches Forschungsinstitut Oberwolfach. The second author was supported by Polish Grant MNiSW. The third author was supported by Grant-in-Aid for Scietific Research (c), JSPS. The fourth author was supported by NSERC, Canada.
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© Copyright 2013
University Press, Inc.
The copyright for this article reverts to public domain 28 years after publication.