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.

 

Tricanonical system of a surface of general type in positive characteristic
HTML articles powered by AMS MathViewer

by Tohru Nakashima PDF
Proc. Amer. Math. Soc. 117 (1993), 23-25 Request permission

Abstract:

Using vector bundle method, we study the tricanonical system on a minimal surface of general type defined over an algebraically closed field of positive characteristic. Under some conditions, it is proved that it has no fixed component.
References
  • E. Bombieri, Canonical models of surfaces of general type, Inst. Hautes Études Sci. Publ. Math. 42 (1973), 171–219. MR 318163
  • Torsten Ekedahl, Canonical models of surfaces of general type in positive characteristic, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 97–144. MR 972344
  • Yoichi Miyaoka, Tricanonical maps of numerical Godeaux surfaces, Invent. Math. 34 (1976), no. 2, 99–111. MR 409481, DOI 10.1007/BF01425477
    • N. I. Shepherd-Barron, Unstable vector bundles and linear systems on surfaces in characteristic $p$, preprint.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14J29
  • Retrieve articles in all journals with MSC: 14J29
Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 117 (1993), 23-25
  • MSC: Primary 14J29
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1105041-3
  • MathSciNet review: 1105041