Fuzzy toric geometries
Fuzzy toric geometries
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模糊复曲面几何
DOI：
10.1088/1126-6708/2008/02/111
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发表时间：
2006
影响因子：
5.4
通讯作者：
Christian Saemann
中科院分区：
文献类型：
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作者：
Christian Saemann
我们描述了一种逼近射影环簇的模糊空间的构造。这种构造使用了这种簇到复射影空间的规范嵌入：环簇上的模糊函数代数是通过限制嵌入中出现的复射影空间上的模糊函数代数而得到的。我们给出了这种构造的几个明确的例子；特别地，我们给出了模糊加权射影空间以及模糊Hirzebruch曲面和del Pezzo曲面。由于我们的构造实际上适用于复射影空间的任意子簇，所以很容易得到大类的模糊Calabi-Yau流形，我们评论模糊K3曲面和模糊五次三折。除了显著地增加了可用模糊空间的数目外，我们还证明了射影环簇的模糊化相当于它的环基的量子化。
We describe a construction of fuzzy spaces which approximate projective toric varieties. The construction uses the canonical embedding of such varieties into a complex projective space: The algebra of fuzzy functions on a toric variety is obtained by a restriction of the fuzzy algebra of functions on the complex projective space appearing in the embedding. We give several explicit examples for this construction; in particular, we present fuzzy weighted projective spaces as well as fuzzy Hirzebruch and del Pezzo surfaces. As our construction is actually suited for arbitrary subvarieties of complex projective spaces, one can easily obtain large classes of fuzzy Calabi-Yau manifolds and we comment on fuzzy K3 surfaces and fuzzy quintic three-folds. Besides enlarging the number of available fuzzy spaces significantly, we show that the fuzzification of a projective toric variety amounts to a quantization of its toric base.
(7)有理椭圆面的Q分裂模型
DOI：
--
发表时间：
2006
期刊：
影响因子：
--
作者：
塩田 徹治;筧 三郎;覧 三郎;筧 三郎;筧 三郎;塩田 徹治;塩田 徹治;塩田 徹治;塩田 徹治
通讯作者：
塩田 徹治