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The special fiber of the motivic deformation of the stable homotopy category is algebraic

2021; Mittag-Leffler Institute; Volume: 226; Issue: 2 Linguagem: Inglês

10.4310/acta.2021.v226.n2.a2

1871-2509

Bogdan Gheorghe, Guozhen Wang, Zhouli Xu,

Algebraic Geometry and Number Theory

τ -Mod: the abelian category of graded left modules over MU mot * , * /τ .(25) MU mot * , * /τ -Mod 0 : the abelian category of graded left modules over MU mot * , * /τ that are concentrated in Chow-Novikov degree zero.(26) MU mot * , * MU mot /τ -Comod: the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot /τ .(27) MU mot * , * MU mot /τ -Comod 0 : the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot /τ that are concentrated in Chow-Novikov degree zero.(28) D b (A): the bounded derived category of an abelian category A as a stable ∞-category.(29) Stable(BP * BP): the underlying stable ∞-category of Hovey's unbounded derived category of BP * BP-comodules.* , * MU mot /τ is a Hopf algebroid.Definition 4.3.Denote by MU mot * , * MU mot /τ -Comod the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot /τ , and by MU mot * , * MU mot /τ -Comod 0 its full subcategory spanned by all graded