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Some examples of noncommutative projective Calabi–Yau schemes

Part of: Algebraic geometry: Foundations Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  08 February 2024

Yuki Mizuno
Yuki Mizuno*
Affiliation:
Department of Mathematics, School of Science and Engineering, Waseda University, Ohkubo 3-4-1, Shinjuku, Tokyo 169-8555, Japan
*
e-mail: [email protected]
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Abstract

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.

Keywords

Noncommutative algebraic geometryNoncommutative projective schemesCalabi–Yau varieties

MSC classification

Primary: 14A22: Noncommutative algebraic geometry 14J32: Calabi-Yau manifolds
Type
Article
Information
Canadian Mathematical Bulletin , Volume 67 , Issue 3 , September 2024 , pp. 706 - 726
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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Footnotes

This work is supported by Grant-in-Aid for JSPS Fellows (Grant No. 22KJ2923)

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