On graded E -rings and projective schemes in spectral algebraic geometry

Mariko Ohara, Takeshi Torii

Research output: Contribution to journalArticlepeer-review


We introduce graded E-rings and graded modules over them, and study their properties. We construct projective schemes associated to connective N-graded E-rings in spectral algebraic geometry. Under some finiteness conditions, we show that the ∞-category of almost perfect quasi-coherent sheaves over a spectral projective scheme Proj(A) associated to a connective N-graded E-ring A can be described in terms of Z-graded A-modules.

Original languageEnglish
Pages (from-to)105-144
Number of pages40
JournalJournal of Homotopy and Related Structures
Issue number1
Publication statusPublished - Mar 2022


  • Graded E-ring
  • Projective scheme
  • Quasi-coherent sheaf
  • Spectral algebraic geometry

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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