3 papers
math.AG2026
Finiteness of leaps of modules of integrable derivations of algebras of finite type
Takuya Miyamoto
We prove the finiteness of leaps of modules of -integrable derivations for algebras essentially of finite type and, more generally, for schemes essentially of finite type over a…
math.AG2025
Pathology of formal locally-trivial deformations in positive characteristic
Takuya Miyamoto
We construct explicit examples that are algebraic varieties in positive characteristic to show that locally trivial moduli functors do not always satisfy Schlessinger's condition $…
math.AG2025
Hasse-Schmidt derivations and locally trivial deformations in positive characteristic
Takuya Miyamoto
In this paper, we first study the lifting problem of Hasse-Schmidt derivations and then apply the results to the theory of locally trivial deformations of algebraic schemes in posi…