Some examples of noncommutative projective Calabi–Yau schemes
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 706-726

Voir la notice de l'article provenant de la source Cambridge

DOI

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.
DOI : 10.4153/S0008439524000110
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  - 
%0 Journal Article
%A Mizuno, Yuki
%T Some examples of noncommutative projective Calabi–Yau schemes
%J Canadian mathematical bulletin
%D 2024
%P 706-726
%V 67
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000110/
%R 10.4153/S0008439524000110
%F 10_4153_S0008439524000110

Cité par Sources :