3 papers
math.AC2026
Trace ideals of exterior powers of the module of differentials
Ryo Ishizuka, Sora Miyashita
For each , we study the trace ideal of the -th exterior power of the module of differentials. We show that these ideals characterize the polynomial rank of graded ring…
math.AG2025
Quasi-canonical lifting of projective varieties in positive characteristic
Ryo Ishizuka, Kazuma Shimomoto
The main aim of this article is to give new classes of smooth projective varieties over characteristic that admit flat liftings over the Witt vectors together with additional…
math.AC2025
A higher algebraic approach to liftings of modules over derived quotients
Ryo Ishizuka
We show a certain existence of a lifting of modules under the self--vanishing condition over the "derived quotient" by using the notion of higher algebra. This refi…