3 papers
math.RA2025
Dualizing complexes over -algebras
Yuki Mizuno
In this paper, we introduce the notions of dualizing complexes and balanced dualizing complexes over -algebras. We prove that a noetherian connected -algebr…
hep-th2025
Regularization of matrices in the covariant derivative interpretation of matrix models
Keiichiro Hattori, Yuki Mizuno, Asato Tsuchiya
We study regularization of matrices in the covariant derivative interpretation of matrix models, a typical example of which is the type IIB matrix model. The covariant derivative i…
math.AG2024
Bondal-Orlov's reconstruction theorem in noncommutative projective geometry
Yuki Mizuno
We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of nonco…