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Stable degenerations of surfaces isogenous to a product II

Author: Wenfei Liu
Journal: Trans. Amer. Math. Soc. 364 (2012), 2411-2427
MSC (2010): Primary 14J10, 14B07
Posted: January 11, 2012
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we describe the possible singularities on a stable surface which is in the boundary of the moduli space of surfaces isogenous to a product. Then we use the $\mathbb{Q}$ -Gorenstein deformation theory to get some connected components of the moduli space of stable surfaces.

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Additional Information

Wenfei Liu
Affiliation: School of Mathematics Sciences, Beijing University, Beijing 100871, People’s Republic of China
Address at time of publication: Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße 25, D-33615 Bielefeld, Germany
Email: liuwenfei@math.uni-bielefeld.de

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05369-4
PII: S 0002-9947(2012)05369-4
Received by editor(s): February 10, 2010
Received by editor(s) in revised form: March 24, 2010
Posted: January 11, 2012
Additional Notes: This work was completed at Universitat Bayreuth under the financial support of China Scholarship Council “High-level university graduate program” and DFG Forschergruppe 790 “Classification of algebraic surfaces and compact complex manifolds”
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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