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Limit linear series, the irrationality of $M_g $, and other applications
Author(s):
David
Eisenbud;
Joe
Harris
Journal:
Bull. Amer. Math. Soc.
10
(1984),
277-280.
MSC (1980):
Primary 14H10
MathSciNet review:
733695
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References |
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Additional information
References:
- [A] E. Arbarello, Weierstrass points and moduli of curves, Compositio Math. 29 (1974), 325-342. MR 360601
- [B] A. Beauville, Prym varieties and the Schottky problem, Invent. Math. 41 (1977), 149-196. MR 572974
- [D-E-P] C. DeConcini, D. Eisenbud and C. Procesi, Hodge algebras, Astérisque 91 (1982). MR 680936
- [D] S. Diaz, Exceptional Weierstrass points and the divisor on moduli space that they define, Ph.D. thesis, Brown Univ. Providence, R.I., 1982.
- [E-H1] D. Eisenbud and J. Harris, Linear series on general curves and cuspidal rational curves, Invent. Math. (1983). MR 724011
- [E-H2] D. Eisenbud and J. Harris, A short proof of the Brill-Noether theorem, Proc. Ravello Conf. Algebraic Geometry.
- [E-H3] D. Eisenbud and J. Harris, A simpler proof of the Gieseker-Petri theorem, Invent. Math. (1983).
- [E-H4] D. Eisenbud and J. Harris, Linear series on reducible curves, and applications to linear series with ρ = 0 (in preparation).
- [E-H5] D. Eisenbud and J. Harris, M ≥ 24 (in preparation).
- [F-L] W. Fulton and R. Lazarsfeld, On connectedness of degeneracy loci and special divisors, Acta Math. 146 (1981), 271-283. MR 611386
- [G] D. Gieseker, Stable curves and special divisors, Invent. Math. 66 (1982), 251-275. MR 656623
- [G-H] P. A. Griffiths and J. Harris, On the variety of special linear systems on a general algebraic curve, Duke Math. J. 47 (1980), 233-272. MR 563378
- [H] J. Harris, On the Kodaira dimension of the moduli space of curves. II: The even genus case, Invent. Math, (to appear). MR 735335
- [H-M] J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), 23-86. MR 664324
- [K] F. Knudson, The projectivity of the moduli space of stable curves, Math. Scand. 52 (1983).
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15244-3
PII:
S 0273-0979(1984)15244-3
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