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Transactions of the American Mathematical Society

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

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Bicanonical pencil of a determinantal Barlow surface
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by Yongnam Lee PDF
Trans. Amer. Math. Soc. 353 (2001), 893-905 Request permission

Abstract:

In this paper, we study the bicanonical pencil of a Godeaux surface and of a determinantal Barlow surface. This study gives a simple proof for the unobstructedness of deformations of a determinantal Barlow surface. Then we compute the number of hyperelliptic curves in the bicanonical pencil of a determinantal Barlow surface via classical Prym theory.
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Additional Information
  • Yongnam Lee
  • Affiliation: Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, Korea
  • Address at time of publication: Department of Mathematics, Sogang University, Sinsu-dong, Mapo-gu, Seoul 121-742, Korea
  • Email: ynlee@ccs.sogang.ac.kr
  • Received by editor(s): October 15, 1997
  • Received by editor(s) in revised form: June 3, 1999
  • Published electronically: November 8, 2000
  • Additional Notes: The author would like to express his appreciation to professor Herb Clemens for valuable suggestions that made this work possible. Also the author would like to thank Professor Fabrizio Catanese for the use of his approach and the results in his recent preprint (written with Pignatelli) to solve the problem of hyperelliptic curves. Finally, the author would like to thank the referee for many interesting suggestions and corrections. Most of this work is the part of a Ph.D. thesis submitted to the University of Utah in 1997, and is partially supported by the Korea Institute for Advanced Study.
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 893-905
  • MSC (2000): Primary 14J10, 14J29
  • DOI: https://doi.org/10.1090/S0002-9947-00-02609-X
  • MathSciNet review: 1707700