A thick subcategory theorem for modules over certain ring spectra

作者:Mathew Akhil*
来源:Geometry and Topology, 2015, 19(4): 2359-2392.
DOI:10.2140/gt.2015.19.2359

摘要

We classify thick subcategories of the infinity-categories of perfect modules over ring spectra which arise as functions on even periodic derived stacks satisfying affineness and regularity conditions. For example, we show that the thick subcategories of perfect modules over TMF are in natural bijection with the subsets of the underlying space of the moduli stack of elliptic curves which are closed under specialization.

  • 出版日期2015