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引用次数: 0
摘要
在本文中，我们通过使用非交换 Segre 积和量子加权超曲面，构建了一些非交换投影 Calabi-Yau 方案的例子。我们还将我们的构造与金泽（Kanazawa，2015，Journal of Pure and Applied Algebra 219，2771-2780）中构造的交换 Calabi-Yau varieties 和例子进行了比较。我们特别指出，我们的一些构造本质上是非交换投影 Calabi-Yau 方案的新例子。
Some examples of noncommutative projective Calabi–Yau schemes
In this article, we construct some examples of noncommutative projective Calabi–Yau schemes by using noncommutative Segre products and quantum weighted hypersurfaces. We also compare our constructions with commutative Calabi–Yau varieties and examples constructed in Kanazawa (2015, Journal of Pure and Applied Algebra 219, 2771–2780). In particular, we show that some of our constructions are essentially new examples of noncommutative projective Calabi–Yau schemes.
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