충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권4호
  • /
  • Pages.563-569
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  • 2014
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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CURVES OF MAXIMAL GENUS ON SURFACE SCROLLS

  • 투고 : 2014.06.09
  • 심사 : 2014.10.20
  • 발행 : 2014.11.15
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초록

We investigate a minimal set of generators of a homogeneous ideal of a curve of degree d on a linearly normal smooth surface scroll W in $P^r$ whose arithmetic genus is maximal among curves of degree d on W.

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참고문헌

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  3. R. Hartshorne, Algebraic geometry, Springer-Verlag, 1977, Graduate Texts in Mathematics, No. 52.
  4. E. Park, On higher syzygies of ruled surfaces, Trans. Amer. Math. Soc. 358 (2006), no. 8, 3733-3749. https://doi.org/10.1090/S0002-9947-05-03875-4