• 제목/요약/키워드: Gorenstein ideal of codimension 3

검색결과 3건 처리시간 0.016초

$\kappa$-CONFIGURATIONS IN $\mathbb{P}^2$ AND GORENSTEIN IDEALS OF CODIMENSION 3

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
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    • 제4권1호
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    • pp.249-261
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    • 1997
  • We find a necessary and sufficient condition for a $\kappa$-confi-guration $\mathbb{X}$ in $\mathbb{P}^2$ to be in generic position. We obtain the number and degrees of minimal generators of some Gorenstein ideals of codimension 3 and so obtain their minimal free resolution s of these ideals.

CHOW GROUPS OF COMPLETE REGULAR LOCAL RINGS III

  • Lee, Si-Chang
    • 대한수학회논문집
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    • 제17권2호
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    • pp.221-227
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    • 2002
  • In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then $A_{n-2}$(R) = 0. (2) Let R be a regular local ring of dimension n and I be an ideal in R of height 3 such that R/I is a Gorenstein ring. Then [I] = 0 in $A_{n-3}$(R). (3) Let R = V[[ $X_1$, $X_2$, …, $X_{5}$ ]]/(p+ $X_1$$^{t1}$ + $X_2$$^{t2}$ + $X_3$$^{t3}$ + $X_4$$^2$+ $X_{5}$ $^2$/), where p $\neq$2, $t_1$, $t_2$, $t_3$ are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.

Chow groups on complete regular local rings II

  • Si Chang Lee;Kyu Bum Hwang
    • 대한수학회논문집
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    • 제11권3호
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    • pp.569-573
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    • 1996
  • We study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, [I] = 0 in $A_{n-3}(R)$ and (b) for a particular class of almost complete intersection prime ideals P of height i, [P] = 0 in $A_{n-i}(R)$.

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