arXiv:1908.02975v7 [math.AG] 19 Jan 2021 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 5 (2021), Article Nr. 1 Motives with modulus, I: Modulus sheaves …

The aim of this work is to construct certain homotopy t-structures on various categories of
motivic homotopy theory, extending works of Voevodsky, Morel, Déglise and Ayoub. We …

We construct and study a triangulated category of motives with modulus MDM gm eff over a
field k that extends Voevodsky's category DM gm eff in such a way as to encompass …

arXiv:1707.07398v7 [math.AG] 23 Feb 2021 Page 1 arXiv:1707.07398v7 [math.AG] 23 Feb
2021 RECIPROCITY SHEAVES, II BRUNO KAHN, SHUJI SAITO, AND TAKAO YAMAZAKI …

We develop birational versions of Voevodsky's triangulated categories of motives over a
field, and relate them with the pure birational motives studied in. We also get an …

We define a motivic conductor for any presheaf with transfers F using the categorical
framework developed for the theory of motives with modulus by Kahn, Miyazaki, Saito and …

These notes are devoted to the study of generic motives and their application to the structure
of the motivic cohomology of fields. Related to Voevodsky's homotopy $ t $-structure on …

The tensor product of A^ 1 A 1-invariant sheaves with transfers introduced by Voevodsky is
generalized to reciprocity sheaves via the theory of modulus presheaves with transfers. We …

We construct and study a triangulated category of motives with modulus MDMeff gm over a
field k that extends Voevodsky's category DMeff gm in such a way as to encompass …

In this work we introduce reciprocity functors, construct the associated K-group functor of a
family of reciprocity functors, which itself is a reciprocity functor, and compute it in several …