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.

 

Smooth Kummer surfaces in projective three-space
HTML articles powered by AMS MathViewer

by Thomas Bauer PDF
Proc. Amer. Math. Soc. 125 (1997), 2537-2541 Request permission

Abstract:

In this note we prove the existence of smooth Kummer surfaces in projective three-space containing sixteen mutually disjoint smooth rational curves of any given degree.
References
  • W. Barth and Th. Bauer, Smooth quartic surfaces with $352$ conics, Manuscripta Math. 85 (1994), no. 3-4, 409–417. MR 1305751, DOI 10.1007/BF02568207
  • W. Barth and I. Nieto, Abelian surfaces of type $(1,3)$ and quartic surfaces with $16$ skew lines, J. Algebraic Geom. 3 (1994), no. 2, 173–222. MR 1257320
  • Th. Bauer, Projective images of Kummer surfaces, Math. Ann. 299 (1994), no. 1, 155–170. MR 1273081, DOI 10.1007/BF01459777
  • J. J. Corliss, Upper limits to the real roots of a real algebraic equation, Amer. Math. Monthly 46 (1939), 334–338. MR 4
  • Isao Naruki, On smooth quartic embedding of Kummer surfaces, Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), no. 7, 223–225. MR 1137912
  • Nikulin, V.V.: On Kummer surfaces. Math. USSR Izvestija, Vol.9, No.2, 261-275 (1975)
  • B. Saint-Donat, Projective models of $K-3$ surfaces, Amer. J. Math. 96 (1974), 602–639. MR 364263, DOI 10.2307/2373709
  • Traynard, E.: Sur les fonctions thêta de deux variables et les surfaces hyperelliptiques. Ann. Scient. Éc. Norm. Sup., 3. sér., t. 24, 77-177 (1907)
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 14J28, 14E25
  • Retrieve articles in all journals with MSC (1991): 14J28, 14E25
Additional Information
  • Thomas Bauer
  • Affiliation: Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstrasse 1$\tfrac 12$, D-91054 Erlangen, Germany
  • Address at time of publication: Department of Mathematics, University of California, Los Angeles, California 90024
  • Email: bauerth@mi.uni-erlangen.de, tbauer@math.ucla.edu
  • Received by editor(s): April 6, 1996
  • Additional Notes: The author was supported by DFG contract Ba 423/7-1.
  • Communicated by: Ron Donagi
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2537-2541
  • MSC (1991): Primary 14J28; Secondary 14E25
  • DOI: https://doi.org/10.1090/S0002-9939-97-04089-6
  • MathSciNet review: 1422846