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Motives with modulus I: modulus sheaves with transfers for non-proper modulus pairs

Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito and Takao Yamazaki

We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's theory of sheaves with transfers. This paper and its sequel are foundational for the theory of motives with modulus, which is developed in Part III of this series.

Reference : Épijournal de géométrie algébrique 5 (2021), Article Nr. 1 https://doi.org/10.46298/epiga.2021.volume5.5979

ArXiv link : https://arxiv.org/abs/1908.02975v7

Hal link : https://hal.archives-ouvertes.fr/hal-03226204v1

Pdf :