臺灣大學: 數學研究所陳榮凱陳正傑Chen, Jheng-JieJheng-JieChen2013-03-212018-06-282013-03-212018-06-282010http://ntur.lib.ntu.edu.tw//handle/246246/249850We give the codimension bound for quasismooth weighted complete intersections and also provide several complete lists on quasismooth weighted complete intersections which are terminal 3-folds (cf. [16]) and prove the finiteness of these families for every fixed amplitude . We have two counterexamples (which are different from 3-folds) for higher dimensional varieties with only terminal singularities. We prove the divisorial contraction to terminal cyclic quotient $(X, P) = C^n/Z_r(a_1, a_2, ..., a_n)$ with minimal discrepancy $1/r$ is unique.623213 bytesapplication/pdfen-US高維度奇異點半平滑加權完全相交的曲體完備列表嵌入維度川又雄二郎blowup加權blowuphigher dimensional singularitiesquasismoothweighted complete intersectionscomplete listsembedding dimensionKawamata blowupweighted blowupthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/249850/1/ntu-99-D94221006-1.pdf