2 citations · 5 across the 5 of their papers we have counts for
9 papers
Division properties of commuting polynomials
Kimiko Hasegawa, Rin Sugiyama
Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) co…
Tensor structures in the theory of modulus presheaves with transfers
Kay Rülling, Rin Sugiyama, Takao Yamazaki
The tensor product of -invariant sheaves with transfers introduced by Voevodsky is generalized to reciprocity sheaves via the theory of modulus presheaves with transf…
A remark on the tensor product of SC-reciprocity sheaves
Rin Sugiyama
We give a description of the tensor product of SC-reciprocity presheaves with transfers in terms of -group of geometric type, and we study a structure of the tensor product of $…
Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus
Federico Binda, Jin Cao, Wataru Kai +1
The notion of modulus is a striking feature of Rosenlicht-Serre's theory of generalized Jacobian varieties of curves. It was carried over to algebraic cycles on general varieties b…
Motivic homology of semiabelian varieties
Rin Sugiyama
We generalize some classical results on Chow group of an abelian variety to semiabelian varieties and to motivic (co)homology, using a result of Ancona--Enright-Ward--Huber on a de…
Remark on nondegeneracy of simple abelian varieties with many endomorphisms
Rin Sugiyama
We investigate a relationship between nondegeneracy of a simple abelian variety over an algebraic closure of $\mb{Q}$ and of its reduction . We prove that under some assum…