• 제목/요약/키워드: unirationality

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ON THE GEOMETRY OF BIHYPERELLIPTIC CURVES

  • Ballico, Edoardo;Casnati, Gianfranco;Fontanari, Claudio
    • 대한수학회지
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    • 제44권6호
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    • pp.1339-1350
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    • 2007
  • Here we consider bihyperelliptic curves, i.e., double covers of hyperelliptic curves. By applying the theory of quadruple covers, among other things we prove that the bihyperelliptic locus in the moduli space of smooth curves is irreducible and unirational $g{\geq}4{\gamma}+2{\geq}10$.