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Affine quadrics and the Picard group of the motivic category (2019)
Journal Article
Vishik, A. (2019). Affine quadrics and the Picard group of the motivic category. Compositio Mathematica, 155(8), 1500-1520. https://doi.org/10.1112/S0010437X19007401

In this paper we study the subgroup of the Picard group of Voevodsky's category of geometric motives DMgm(k; Z/2) generated by the reduced motives of affine quadrics. Our main tools here are the functors of Bachmann [On the invertibility of motives o... Read More about Affine quadrics and the Picard group of the motivic category.

Stable and unstable operations in algebraic cobordism (2019)
Journal Article
Alexander VISHIK, A. (2019). Stable and unstable operations in algebraic cobordism. Annales Scientifiques de l'École Normale Supérieure, 1(52), 561-630. https://doi.org/10.24033/asens.2393

© 2019 Société Mathématique de France. Tous droits réservés - We describe additive (unstable) operations from a theory A* obtained from the Levine-Morel algebraic cobordism by change of coefficients to any oriented cohomology theory B* (over a field... Read More about Stable and unstable operations in algebraic cobordism.