Crepant Resolutions of C^n/A_1(n) and Flops of n-Folds for n = 4,5

Details Crepant Resolutions of C^n/A_1(n) and Flops of n-Folds for n = 4,5 Crepant Resolutions of C^n/A_1(n) and Flops of n-Folds for n = 4,5

2002-08-07

arxiv.org/abs/math/0208052v4

"Calabi-Yau varieties and mirror symmetry", eds. N. Yui and J. D. Lewis, Fields Institute Comm. 38, 2003, Amer. Math. Soc. 27-

Mathematics

Algebraic Geometry

15 pages, 8 figures

Scientific paper

In this article, we determine the explicit toric variety structure of
$\hl^{A_1(n)}(\CZ^n)$ for $n=4,5$, where $A_1(n)$ is the special diagonal group
of all order 2 elements. Through the toric data of $\hl^{A_1(n)}(\CZ^n)$, we
obtain certain toric crepant resolutions of $\CZ^n/A_1(n)$, and the different
crepant resolutions are connected by flops of $n$-folds for $n=4,5$.

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