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Brill-Noether divisors on the moduli space of curves and applications

Claudio Fontanari|Edoardo Ballico
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회지 (Journal of the KMS)|제42권 제6호|pp. 1279-1285

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Abstract

Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher codimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genus $g$.

참고문헌 (11)

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  3. "Linear series on a general k-gonal curve", 69, pp.347~371 (1999)
  4. "^Linear series on 4-gonalcurves", 213, pp.35~55 (2000)
  5. "Brill-Noether theory in codimension-two", 2(1), pp.25~ (1993)
  6. "andlimits of certain Weierstrass points", pp.495~ (1987)
  7. "Invent. Math. 90(1987", no. 2
  8. "Irreducibility of some families oflinear series with Brill-Noether number -1", pp.33~ (1989)
  9. "The geometry of the moduli space of curves ofgenus 23", 318(1), pp.43~65 (2000)
  10. "On the Kodaira dimension of themoduli space of curves", 67(1), pp.23~ (1982)
  11. "A generalized principal ideal theorem with anapplication to Brill-Noether theory", 132(1), pp.73~89 (1998)

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