geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
higher geometry / derived geometry
Ingredients
Concepts
geometric little (∞,1)-toposes
geometric big (∞,1)-toposes
Constructions
Examples
derived smooth geometry
Theorems
A complex orbifold is an orbifold with complex structure, hence like a complex manifold but possibly with singularities modeled on fixed points of local actions of finite groups by holomorphic maps.
Brian Steer, Andrew Wren, Grothendieck Toplogy and the Picard group of a complex orbifold, In: Jean-Pierre Meyer, Jack Morava and W. Stephen Wilson (eds.) Homotopy Invariant Algebraic Structures: A Conference in Honor of J. Michael Boardman, AMS 1999 (doi:10.1090/conm/239)
Edward Frenkel, Matthew Szczesny, Chiral de Rham complex and orbifolds, J. Algebraic Geom. 16 (2007), 599-624 (doi:10.1090/S1056-3911-07-00466-3)
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