On Hopkins’ Picard Groups for the Prime 3 and Chromatic Level 2 Paul Goerss, Hans-werner Henn, Mark Mahowald and Charles Rezk
نویسندگان
چکیده
We give a calculation of Picard groups Pic2 of K(2)-local invertible spectra and Pic(L2) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculation the subgroup κ2 of invertible spectra X with (E2)∗X ∼= (E2)∗S as continuous modules over the Morava stabilizer group G2.
منابع مشابه
A ug 2 00 5 A modular description of the K ( 2 ) - local sphere at the prime 3
Using degree N isogenies of elliptic curves, we produce a spectrum Q(N). This spectrum is built out of spectra related to tmf . At p = 3 we show that the K(2)local sphere is built out of Q(2) and its K(2)-local Spanier-Whitehead dual. This gives a conceptual reinterpretation a resolution of Goerss, Henn, Mahowald, and Rezk. AMS classification: Primary 55Q40, 55Q51, 55N34. Secondary 55S05, 14H52.
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Using degree N isogenies of elliptic curves, we produce a spectrum Q(N). This spectrum is built out of spectra related to tmf . At p = 3 we show that the K(2)local sphere is built out of Q(2) and its K(2)-local Spanier-Whitehead dual. This gives a conceptual reinterpretation a resolution of Goerss, Henn, Mahowald, and Rezk. AMS classification: Primary 55Q40, 55Q51, 55N34. Secondary 55S05, 14H52.
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