PreprintarXiv licencearXiv
Three-dimensional noncommutative Fano minifolds
Abstract
We give a construction of the previously announced family of three-dimensional noncommutative Fano minifolds of Euler degree $72$. We prove that their defining ℤ-algebras are Koszul and Artin--Schelter regular, and compute the Hilbert series of their section algebras.
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BibTeX
@misc{loginov2026threedimensional,
title = {{Three-dimensional noncommutative Fano minifolds}},
author = {Konstantin Loginov and Dmitri Orlov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31250},
eprint = {2610.31250},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31250},
}
RIS
TY - UNPB
TI - Three-dimensional noncommutative Fano minifolds
AU - Konstantin Loginov
AU - Dmitri Orlov
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31250
UR - https://arxiv.org/abs/2610.31250
AB - We give a construction of the previously announced family of three-dimensional noncommutative Fano minifolds of Euler degree $72$. We prove that their defining ℤ-algebras are Koszul and Artin--Schelter regular, and compute the Hilbert series of their section algebras.
ER -