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math.AG2026
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…
math.AG2025
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…
math.AG2025
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…