Derived Algebraic Geometry V: Structured Spaces

By Jacob Lurie. 2009

101 citations recorded by the source corpus.

In this paper, we describe a general theory of "spaces with structure sheaves." Specializations of this theory include the classical theory of schemes, the theory of Deligne-Mumford stacks, and their derived generalizations.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6e0fe8191c440387f9c6be936c11782130effcf1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Clark Barwick
2. D. Gepner
3. David White
4. J. Pridham
5. R. Haugseng
6. Andrew Justin Blumberg
7. T. Nikolaus
8. Gonçalo Tabuada

In Mathematical Physics

1. Clark Barwick
2. D. Gepner
3. David White
4. J. Pridham
5. R. Haugseng
6. Andrew Justin Blumberg
7. T. Nikolaus
8. Gonçalo Tabuada

Citations in the corpus

• On the algebraic K‐theory of higher categories (2012, methodology): “We appeal here to the theory of nonconnective spectral Deligne–Mumford stacks and their module theory as exposed in [44, 45].”