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6 votes
1 answer
510 views

Is every algebraic space a 1-geometric stack?

In many references (Toen, Higher and derived stacks: a global overview, Toen, Vezzosi, Homotopical algebraic geometry II, and so on), the definition of $n$-geometric stack appears. In the non-derived …
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  • 421
1 vote
0 answers
199 views

How can we construct a derived scheme as a gluing of derived schemes?

More precisely, consider a Segal groupoid $X_*$ in an infinity category of derived schemes : dSch In Toen's note, 'Derived Algebraic Geometry', he defines a 1-Artin stacks as a homotopy colimits of …
keaton's user avatar
  • 421