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Nisnevich topology with
modulus
Hiroyasu Miyazaki |
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Vol. 5 (2020), No. 3, 581–604
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Abstract |
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In the theory of motives à la Voevodsky, the Nisnevich topology on smooth schemes is used as an important building block. We introduce a Grothendieck topology on proper modulus pairs, which is used to construct a non-homotopy-invariant generalization of motives. We also prove that the topology satisfies similar properties to the Nisnevich topology. |
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Keywords
Nisnevich topology, cd-structure, modulus pairs, motives
with modulus
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Mathematical Subject Classification 2010
Primary: 14F20
Secondary: 14C25, 18F10, 19E15
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Milestones
Received: 25 November 2019
Revised: 31 March 2020
Accepted: 20 April 2020
Published: 28 July 2020
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Authors |
| Hiroyasu Miyazaki | |
| iTHEMS RIKEN Hirosawa, Wako Saitama Japan |
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