# CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES

@article{Binda2021CONNECTIVITYAP,
title={CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES},
author={Federico Binda and Alberto Merici},
journal={Journal of the Institute of Mathematics of Jussieu},
year={2021}
}
• Published 15 December 2020
• Mathematics
• Journal of the Institute of Mathematics of Jussieu
The goal of this article is to extend the work of Voevodsky and Morel on the homotopy t-structure on the category of motivic complexes to the context of motives for logarithmic schemes. To do so, we prove an analogue of Morel’s connectivity theorem and show a purity statement for $({\mathbf {P}}^1, \infty )$ -local complexes of sheaves with log transfers. The homotopy t-structure on ${\operatorname {\mathbf {logDM}^{eff}}}(k)$ is proved to be compatible with Voevodsky’s t…
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