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- W4289143886 abstract "In this paper, we prove a form of purity property for the $(mathbb{P}^1, infty)$-invariant replacement $h_0^{overline{square}}(mathfrak{X})$ of the Yoneda object $mathbb{Z}_{rm tr} (mathfrak{X})$ for a modulus pair $mathfrak{X}=(overline{X}, X_infty)$ over a field $k$, consisting of a smooth projective $k$-scheme and an effective Cartier divisor on it. As application, we prove the analogue in the modulus setting of Voevodsky's fundamental theorem on the homotopy invariance of the cohomology of homotopy invariant sheaves with transfers, based on a main result of Purity of reciprocity sheaves arXiv:1704.02442. This plays an essential role in the development of the theory of motives with modulus, and among other things implies the existence of a homotopy $t$-structure on the category $mathbf{MDM}^{rm eff}(k)$ of Kahn-Saito-Yamazaki." @default.
- W4289143886 created "2022-08-01" @default.
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- W4289143886 date "2018-12-05" @default.
- W4289143886 modified "2023-10-16" @default.
- W4289143886 title "Semi-purity for cycles with modulus" @default.
- W4289143886 doi "https://doi.org/10.48550/arxiv.1812.01878" @default.
- W4289143886 hasPublicationYear "2018" @default.
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