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Bloch's conjecture for Inoue surfaces with $ p_g=0$, $ K^2 = 7$


Author: I. Bauer
Journal: Proc. Amer. Math. Soc. 142 (2014), 3335-3342
MSC (2010): Primary 14C25, 14J29, 14J50
Published electronically: June 5, 2014
MathSciNet review: 3238411
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Abstract: The aim of this paper is to prove Bloch's conjecture for Inoue surfaces with $ p_g=0$ and $ K^2=7$. These surfaces can also be described as bidouble covers of the four nodal cubic, which allows one to use the method of ``enough automorphisms'' due to Inose and Mizukami.


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Additional Information

I. Bauer
Affiliation: Mathematisches Institut der Universität Bayreuth, NW II, Universitätsstrasse 30, 95447 Bayreuth, Germany
Email: ingrid.bauer@uni-bayreuth.de

DOI: https://doi.org/10.1090/S0002-9939-2014-12246-5
Received by editor(s): October 16, 2012
Published electronically: June 5, 2014
Additional Notes: The present work took place in the realm of the DFG Forschergruppe 790 “Classification of algebraic surfaces and compact complex manifolds”.
Communicated by: Lev Borisov
Article copyright: © Copyright 2014 American Mathematical Society