The Gaussian map for rational ruled surfaces
Authors:
Jeanne Duflot and Rick Miranda
Journal:
Trans. Amer. Math. Soc. 330 (1992), 447459
MSC:
Primary 14J26; Secondary 14E25, 14H99
MathSciNet review:
1061775
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Abstract: In this paper the Gaussian map of a smooth curve lying on a minimal rational ruled surface is computed. It is shown that the corank of is determined for almost all such curves by the rational surface in which it lies. Hence, except for some special cases, a curve cannot lie on two nonisomorphic minimal rational ruled surfaces.
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 [CHM]
 C. Ciliberto, J. Harris, and R. Miranda, On the surjectivity of the Wahl map, Duke Math. J. 57 (1988), 829858. MR 975124 (89m:14010)
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 , Gaussian maps for certain families of canonical curves, Proc. Bergen 1989 Conf. in Algebraic Geometry (to appear).
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 , Gaussian maps on algebraic curves, Preprint.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947199210617754
PII:
S 00029947(1992)10617754
Article copyright:
© Copyright 1992
American Mathematical Society
