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math.AG2022
Derived invariants and motives, Part II integral derived invariants and some applications
Keiho Matsumoto
In this paper we construct new derived invariants with integral coefficients using the theory of motifs, and give several applications. Specifically, we obtain the following result…
math.AG2022
Derived invariants and motives, Part I, Integral Grothendieck Riemann-Roch and non-commutative motives
Keiho Matsumoto
The goal of this series of papers is to give a new non-commutative approach to problems about the density of reductions such as the conjecture of Joshi-Rajan, and the generalizatio…