Cohomological rigidity of simple 3-polytopes with 10 facets10개의 면을 가진 3차원 단순 폴리토프의 코호몰로지한 견고성

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dc.contributor.advisorSuh, Dong-Youp-
dc.contributor.advisor서동엽-
dc.contributor.authorChoi, Yu-Tae-
dc.contributor.author최유태-
dc.date.accessioned2011-12-14T04:56:30Z-
dc.date.available2011-12-14T04:56:30Z-
dc.date.issued2009-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=308734&flag=dissertation-
dc.identifier.urihttp://hdl.handle.net/10203/42201-
dc.description학위논문(석사) - 한국과학기술원 : 수리과학과, 2009.2, [ v, 23 p. ]-
dc.description.abstractA simple convex polytope $\it{P}$ is cohomologically rigid if its combinatorial structure is determined by the cohomology ring of a quasitoric manifold over $\it{P}$. A simple polytope $\it{Q}$ is irreducible if $\it{Q}$ cannot be expressed as a connected sum of more than 1 polytopes. It is known that irreducible 3-polytopes up to 9 facets are rigid. In this thesis, we investigate the cohomological rigidity of irreducible 3-polytopes with 10 facets by using computer programs $\it{plantri}$ and $\it{Macaulay2}$. The cohomological rigidity of $\it{P}$ is related to the $\it{bigraded Betti numbers}$ of $\it{its its Stanley-Reisner ring}$, important invariants coming from combinatorial commutative algebra.eng
dc.languageeng-
dc.publisher한국과학기술원-
dc.subjectcohomologically rigid-
dc.subjectpolytope-
dc.subjectirreducible-
dc.subjectquasitoric-
dc.subjectmanifold-
dc.subject코호몰로지한 견고성-
dc.subject폴리토프-
dc.subject불분해적인-
dc.subject유사토릭-
dc.subject다양체-
dc.subjectcohomologically rigid-
dc.subjectpolytope-
dc.subjectirreducible-
dc.subjectquasitoric-
dc.subjectmanifold-
dc.subject코호몰로지한 견고성-
dc.subject폴리토프-
dc.subject불분해적인-
dc.subject유사토릭-
dc.subject다양체-
dc.titleCohomological rigidity of simple 3-polytopes with 10 facets-
dc.title.alternative10개의 면을 가진 3차원 단순 폴리토프의 코호몰로지한 견고성-
dc.typeThesis(Master)-
dc.identifier.CNRN308734/325007 -
dc.description.department한국과학기술원 : 수리과학과, -
dc.identifier.uid020063583-
dc.contributor.localauthorSuh, Dong-Youp-
dc.contributor.localauthor서동엽-
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MA-Theses_Master(석사논문)
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