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Oct 15, 2020 at 16:42 comment added user160903 Study of "Douady space " play an important role in connection between Algebraic Geometry and Complex Geometry.
Oct 15, 2020 at 16:38 comment added user160903 Existence (As finite étalé quotient of Hilbert Scheme) of moduli Space of Complex or Kähler Manifolds led to study of Scheme theory. For example, existence of moduli Space of log- Calabi Yau Manifolds still an open problem.
Nov 25, 2015 at 14:48 comment added Liviu Nicolaescu The famous GAGA paper of Serre explains this connection. You cen get this paper here aif.cedram.org/aif-bin/item?id=AIF_1956__6__1_0
Nov 25, 2015 at 14:45 comment added Serge Lvovski A projective variety, even smooth, is, as a a rule, not locally $\mathbb C^n$ with Zariski topology.
Nov 25, 2015 at 14:39 history asked Aurora CC BY-SA 3.0