충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권3호
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  • Pages.487-494
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  • 2010
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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SOME GEOMETRIC CONSEQUENCES OBTAINED FROM PARTIAL ELIMINATION IDEALS

  • Ahn, Jeaman (Department of Mathematics Education Kongju National University)
  • 투고 : 2010.05.09
  • 심사 : 2010.08.30
  • 발행 : 2010.09.30
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초록

In [9], M. Green introduced the partial elimination ideals defining the multiple loci of the projection image of a closed subscheme in ${\mathbb{P}}^n$. In this paper, we give some geometric consequences obtained from partial elimination ideals.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea (NRF)

참고문헌

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  8. D. Eisenbud and S. Goto. Linear free resolutions and minimal multiplicity, J. Algebra 88, 1984, 89-133. https://doi.org/10.1016/0021-8693(84)90092-9
  9. M. Green, Generic Initial Ideals, in Six lectures on Commutative Algebra, (Elias J., Giral J.M., Miro-Roig. R.M., Zarzuela S., eds.), Progress in Mathematics 166, Birkhauser, 1998, 119-186.
  10. M. Haiman, Hilbert schemes, polygraphs and the Macdonald positivity conjec- ture, J. Amer. Math. Soc. 14 (2001), 941-1006 https://doi.org/10.1090/S0894-0347-01-00373-3