# 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} }

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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