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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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A construction of numerical Campedelli surfaces with torsion $\mathbb {Z}/6$
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by Jorge Neves and Stavros Argyrios Papadakis PDF
Trans. Amer. Math. Soc. 361 (2009), 4999-5021 Request permission

Abstract:

We produce a family of numerical Campedelli surfaces with $\mathbb {Z}/6$ torsion by constructing the canonical ring of the étale 6 to 1 cover using serial unprojection. In Section 2 we develop the necessary algebraic machinery. Section 3 contains the numerical Campedelli surface construction, while Section 4 contains remarks and open questions.
References
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Additional Information
  • Jorge Neves
  • Affiliation: Centre for Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal
  • Email: neves@mat.uc.pt
  • Stavros Argyrios Papadakis
  • Affiliation: Center for Mathematical Analysis, Geometry, and Dynamical Systems, Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001 Lisboa, Portugal
  • Email: papadak@math.ist.utl.pt
  • Received by editor(s): April 13, 2007
  • Received by editor(s) in revised form: December 3, 2007
  • Published electronically: April 15, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 4999-5021
  • MSC (2000): Primary 14J29; Secondary 13H10, 14M05
  • DOI: https://doi.org/10.1090/S0002-9947-09-04716-3
  • MathSciNet review: 2506434