DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Yim, Jin-Whan | - |
dc.contributor.advisor | 임진환 | - |
dc.contributor.author | Han, Kang-Jin | - |
dc.contributor.author | 한강진 | - |
dc.date.accessioned | 2011-12-14T04:54:43Z | - |
dc.date.available | 2011-12-14T04:54:43Z | - |
dc.date.issued | 2004 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=237826&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42082 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학전공, 2004.2, [ iii, 15 p. ] | - |
dc.description.abstract | In this thesis, we first see the intersection multiplicity and the scheme-theoretic length of the intersection. And then we look around Cohen-Macaulayness and its meaning in the geometric case. Next we will show the boundedness of the length when $X$ is locally Cohen-Macaulay. More precisely, $length (X ∩ L) ≤ d - e + β if $X^n ⊂ \textbf{P}^{n+e}$ is locally Cohen-Macaulay and $L = \textbf {P}^{β} (1≤ β ≤ e)$ is a linear secant subspace of dimension β to X. Finally, we find an example which shows that the bound is false in case of non-locally Cohen-Macaulay variety. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | SCHEME-THEORETIC LENGTH | - |
dc.subject | COHEN-MACAULAY | - |
dc.subject | 교차중복도 | - |
dc.subject | 0차원 스킴의 길이 | - |
dc.subject | INTERSECTION MULTIPLICITY | - |
dc.title | Intersection multiplicty and scheme-theoretic length of algebraic varieties | - |
dc.title.alternative | 대수다양체들의 교차중복도와 0차원 스킴의 길이에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 237826/325007 | - |
dc.description.department | 한국과학기술원 : 수학전공, | - |
dc.identifier.uid | 020023649 | - |
dc.contributor.localauthor | Yim, Jin-Whan | - |
dc.contributor.localauthor | 임진환 | - |
dc.title.subtitle | examples and interpretations | - |
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