4 papers
Reconstruction of Formal Schemes from Categories of Nuclear Modules
Hisato Matsukawa
We provide a partially functorial and constructive reconstruction procedure for formal schemes from symmetric monoidal categories of nuclear modules. More precisely, for a formal s…
The Spectrum of Stable Infinity Categories with Actions
Hisato Matsukawa
We introduce the relative Matsui spectrum, a new invariant associated with a stable \(\infty\)-category equipped with an action. This construction generalizes both Balmer's tensor…
Proper Fourier-Mukai partners of abelian varieties and points outside the Fourier-Mukai loci in Matsui spectra
Hisato Matsukawa
We prove that any proper Fourier-Mukai partner of an abelian variety is again an abelian variety, by analyzing the Matsui spectrum of the derived category. This result was previous…
Cofinality Theorems of Infinity Categories and Algebraic K-Theory
Hisato Matsukawa
In this paper, we establish a theorem that proves a condition when an inclusion morphism between simplicial sets becomes a weak homotopy equivalence. Additionally, we present two a…