On Higher Dimensional Singularities
Date Issued
2010
Date
2010
Author(s)
Chen, Jheng-Jie
Abstract
We 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.
Subjects
higher dimensional singularities
quasismooth
weighted complete intersections
complete lists
embedding dimension
Kawamata blowup
weighted blowup
Type
thesis
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