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Chromatic homotopy theory is algebraic when p > n2 + n + 1
Advances in Mathematics ( IF 1.5 ) Pub Date : 2021-08-16 , DOI: 10.1016/j.aim.2021.107958
Piotr Pstrągowski 1
Affiliation  

We show that if E is a p-local Landweber exact homology theory of height n and p>n2+n+1, then there exists an equivalence hSpEhD(EE) between homotopy categories of E-local spectra and differential EE-comodules, generalizing Bousfield's and Franke's results to heights n>1.



中文翻译:

当 p > n2 + n + 1 时,色同伦理论是代数的

我们证明,如果E是高度np局部 Landweber 精确同源理论,并且>n2+n+1,那么存在一个等价 HHD()E-局域谱同伦范畴与微分-comodules,将 Bousfield 和 Franke 的结果推广到高度 n>1.

更新日期:2021-08-16
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