Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595701 | Journal of Pure and Applied Algebra | 2017 | 42 Pages |
Abstract
Let A be an E∞E∞-ring over the rational numbers. If A satisfies a noetherian condition on its homotopy groups π⁎(A)π⁎(A), we construct a collection of E∞E∞-A -algebras that realize on homotopy the residue fields of π⁎(A)π⁎(A). We prove an analog of the nilpotence theorem for these residue fields. As a result, we are able to give a complete algebraic description of the Galois theory of A and of the thick subcategories of perfect A-modules. We also obtain partial information on the Picard group of A.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Akhil Mathew,