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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Stable degenerations of surfaces isogenous to a product II
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by Wenfei Liu PDF
Trans. Amer. Math. Soc. 364 (2012), 2411-2427 Request permission

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
  • Received by editor(s): February 10, 2010
  • Received by editor(s) in revised form: March 24, 2010
  • Published electronically: January 11, 2012
  • Additional Notes: This work was completed at Universitaẗ 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”
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 2411-2427
  • MSC (2010): Primary 14J10, 14B07
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05369-4
  • MathSciNet review: 2888212