We prove that the∞-category of MGL-modules over any scheme is equivalent to the∞-
category of motivic spectra with finite syntomic transfers. Using the recognition principle for …

Let be a closed immersion of smooth affine schemes over a field, and let denote the
henselisation of along. We prove that for every additive presheaf on the stable motivic …

A general method of producing correspondences and spectral categories out of symmetric
ring objects in general categories is given. As an application, stable homotopy theory of …

We combine several mini miracles to achieve an elementary understanding of infinite loop
spaces and very effective spectra in the algebro-geometric setting of motivic homotopy …

Motivic cohomology Page 1 Motivic cohomology Marc Levine Abstract We give a survey of the
development of motivic cohomology, motivic categories, and some of their recent descendants …

arXiv:2112.07565v1 [math.AG] 14 Dec 2021 Page 1 arXiv:2112.07565v1 [math.AG] 14 Dec
2021 STABLE MOTIVIC TRIVIAL FIBRE DECOMPOSITION AND FRAMED MOTIVES OVER …

We extend the generality of the theory of framed motives by G.~ Garkusha and I.~ Panin to
the case of an arbitrary base field. This theory plays a fundamental role and allows to get …

We combine several mini miracles to achieve an elementary understanding of infinite loop
spaces and very effective spectra in the algebro-geometric setting of motivic homotopy …

M (k). В настоÿщей работе доказываетсÿ, что приведеннаÿ группа когомологий
комплекса в действительности вычислÿет значение стабильного мотивного пучка …

Собрав воедино несколько вычислительных значимых примеров, мы даем
элементарное описание бесконечно-кратных пространств петель и вполне …