Excess linear series on an algebraic curve
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- by William Fulton, Joe Harris and Robert Lazarsfeld PDF
- Proc. Amer. Math. Soc. 92 (1984), 320-322 Request permission
Abstract:
We prove that the dimensions of the varieties $W_d^r$ of complete linear series of degree $d$ and dimension at least $r$ on a curve satisfy the inequalities $\dim W_{d - 1}^r \geqslant \dim W_d^r - (r - 1)$. In particular, a curve with ${\infty ^2}g_d^1$’s must have a $g_{d - 1}^1$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 320-322
- MSC: Primary 14H40; Secondary 14C20
- DOI: https://doi.org/10.1090/S0002-9939-1984-0759642-7
- MathSciNet review: 759642