DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Suh, Dong-Youp | - |
dc.contributor.advisor | 서동엽 | - |
dc.contributor.author | Choi, Yu-Tae | - |
dc.contributor.author | 최유태 | - |
dc.date.accessioned | 2011-12-14T04:56:30Z | - |
dc.date.available | 2011-12-14T04:56:30Z | - |
dc.date.issued | 2009 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=308734&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42201 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수리과학과, 2009.2, [ v, 23 p. ] | - |
dc.description.abstract | A 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.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | cohomologically rigid | - |
dc.subject | polytope | - |
dc.subject | irreducible | - |
dc.subject | quasitoric | - |
dc.subject | manifold | - |
dc.subject | 코호몰로지한 견고성 | - |
dc.subject | 폴리토프 | - |
dc.subject | 불분해적인 | - |
dc.subject | 유사토릭 | - |
dc.subject | 다양체 | - |
dc.subject | cohomologically rigid | - |
dc.subject | polytope | - |
dc.subject | irreducible | - |
dc.subject | quasitoric | - |
dc.subject | manifold | - |
dc.subject | 코호몰로지한 견고성 | - |
dc.subject | 폴리토프 | - |
dc.subject | 불분해적인 | - |
dc.subject | 유사토릭 | - |
dc.subject | 다양체 | - |
dc.title | Cohomological rigidity of simple 3-polytopes with 10 facets | - |
dc.title.alternative | 10개의 면을 가진 3차원 단순 폴리토프의 코호몰로지한 견고성 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 308734/325007 | - |
dc.description.department | 한국과학기술원 : 수리과학과, | - |
dc.identifier.uid | 020063583 | - |
dc.contributor.localauthor | Suh, Dong-Youp | - |
dc.contributor.localauthor | 서동엽 | - |
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