Some examples of noncommutative projective Calabi–Yau schemes
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 706-726
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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.
Mots-clés :
Noncommutative algebraic geometry, Noncommutative projective schemes, Calabi–Yau varieties
Mizuno, Yuki. Some examples of noncommutative projective Calabi–Yau schemes. Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 706-726. doi: 10.4153/S0008439524000110
@article{10_4153_S0008439524000110,
author = {Mizuno, Yuki},
title = {Some examples of noncommutative projective {Calabi{\textendash}Yau} schemes},
journal = {Canadian mathematical bulletin},
pages = {706--726},
year = {2024},
volume = {67},
number = {3},
doi = {10.4153/S0008439524000110},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000110/}
}
TY - JOUR AU - Mizuno, Yuki TI - Some examples of noncommutative projective Calabi–Yau schemes JO - Canadian mathematical bulletin PY - 2024 SP - 706 EP - 726 VL - 67 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000110/ DO - 10.4153/S0008439524000110 ID - 10_4153_S0008439524000110 ER -
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