Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


New canonical triple covers of surfaces
HTML articles powered by AMS MathViewer

by Carlos Rito PDF
Proc. Amer. Math. Soc. 143 (2015), 4647-4653 Request permission


We construct a surface of general type with canonical map of degree $12$ which factors as a triple cover and a bidouble cover of $\mathbb {P}^2$. We also show the existence of a smooth surface with $q=0,$ $\chi =13$ and $K^2=9\chi$ such that its canonical map is either of degree $3$ onto a surface of general type or of degree $9$ onto a rational surface.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 14J29
  • Retrieve articles in all journals with MSC (2010): 14J29
Additional Information
  • Carlos Rito
  • Affiliation: Universidade de Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, 5000-801 Vila Real, Portugal,
  • Address at time of publication: Departamento de Matemática, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, Apartado 1013, 4169-007 Porto, Portugal,
  • MR Author ID: 744585
  • Email:
  • Received by editor(s): November 4, 2013
  • Received by editor(s) in revised form: July 31, 2014
  • Published electronically: March 31, 2015
  • Additional Notes: The author wishes to thank Margarida Mendes Lopes, Sai-Kee Yeung, Gopal Prasad, Donald Cartwright, Tim Steger and especially Amir Dzambic and Rita Pardini for useful correspondence. The author is a member of the Center for Mathematics of the University of Porto. This research was partially supported by the European Regional Development Fund through the programme COMPETE and by the Portuguese Government through the FCT–Fundação para a Ciência e a Tecnologia under the projects PEst–C/MAT/UI0144/2013 and PTDC/MAT-GEO/0675/2012.
  • Communicated by: Lev Borisov
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4647-4653
  • MSC (2010): Primary 14J29
  • DOI:
  • MathSciNet review: 3391024