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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

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The Gaussian-Wahl map for trigonal curves
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by James N. Brawner PDF
Proc. Amer. Math. Soc. 123 (1995), 1357-1361 Request permission

Abstract:

If a curve C is embedded in projective space by a very ample line bundle L, the Gaussian map ${\Phi _{C,L}}$ is defined as the pull-back of hyperplane sections of the classical Gauss map composed with the Plücker embedding. When $L = K$, the canonical divisor of the curve C, the map is known as the Gaussian-Wahl map for C. We determine the corank of the Gaussian-Wahl map to be $g + 5$ for all trigonal curves (i.e., curves which admit a 3-to-1 mapping onto the projective line) by examining the way in which a trigonal curve is naturally embedded in a rational normal scroll.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1357-1361
  • MSC: Primary 14H60; Secondary 14N05
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1260161-X
  • MathSciNet review: 1260161