• 제목/요약/키워드: Brill-Noether divisor

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BRILL-NOETHER DIVISORS ON THE MODULI SPACE OF CURVES AND APPLICATIONS

  • BALLICO EDOARDO;FONTANARI CLAUDIO
    • 대한수학회지
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    • 제42권6호
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    • pp.1279-1285
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    • 2005
  • 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 co dimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genusg.