A note on linear systems on $K-3$ surfaces
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- by Allen Tannenbaum PDF
- Proc. Amer. Math. Soc. 86 (1982), 6-8 Request permission
Abstract:
A simple necessary and sufficient condition is given for a general member of the complete linear system $|Y|$ to be irreducible and nonsingular where $Y$ is a reduced, connected curve on a $K-3$ surface.References
- Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
- B. Saint-Donat, Projective models of $K-3$ surfaces, Amer. J. Math. 96 (1974), 602–639. MR 364263, DOI 10.2307/2373709
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 6-8
- MSC: Primary 14J99; Secondary 14C99, 14J05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0663853-7
- MathSciNet review: 663853