On a family of special linear systems on algebraic curves
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- by Edmond E. Griffin PDF
- Proc. Amer. Math. Soc. 90 (1984), 355-359 Request permission
Abstract:
$\mathcal {W}_6^2$ is a scheme parametrizing pairs $L \to C$ of smooth algebraic curves $C$ of genus 10 together with line bundles $L$ of degree 6 such that ${H^0}\left ( {C,L} \right ) \geqslant 3$. It is shown that one of the irreducible components of this scheme is nonreduced at every point.References
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E. Arbarello, M. Cornalba, P. A. Griffiths and J. Harris, Topics in the theory of algebraic curves, Princeton Univ. Press. (to appear).
E. Griffin, Special fibers in families of plane curves, Ph. D. Thesis, Harvard Univ., 1982.
—, The component structure of $\mathcal {W}_6^2$ (to appear).
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 355-359
- MSC: Primary 14H15; Secondary 14D15, 14H40, 14H45
- DOI: https://doi.org/10.1090/S0002-9939-1984-0728347-0
- MathSciNet review: 728347