#
nLab

Spectral Schemes

### Context

#### Higher geometry

#### Higher algebra

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This studies the theory of generalized scheme whose structure sheaf takes values in E-∞ ring-spectra. Hence structured (∞,1)-toposes in E-∞ geometry.

See at *E-∞ scheme*.

See also

# Contents

**1.** Sheaves of spectra

**2.** Spectral schemes

**3.** Coherent $\infty$-Topoi

**4.** Deligne’s completeness theorem

**5.** Flat descent

**6.** Flat descent for modules

**7.** Digression: Henselian rings

**8.** Spectral Deligne-Mumford stacks

**9.** Comparison results

Revised on February 3, 2014 13:16:55
by

Urs Schreiber
(89.204.130.154)