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Jul 4, 2022 at 18:50 comment added Michael Thaddeus On the other hand, as Kollár mentions, Kleiman's criterion has been established by Villalobos-Paz for Q-factorial log terminal algebraic spaces (including smooth ones) in characteristic zero: arxiv.org/abs/2105.14630
Jul 4, 2022 at 18:45 comment added Michael Thaddeus A 2021 paper of Kollár explains that the Nakai-Moishezon criterion holds, but Kleiman's criterion is not known to hold, for algebraic spaces: arxiv.org/abs/2105.06242
Sep 13, 2013 at 14:45 vote accept Rhys Davies
Sep 12, 2013 at 15:23 answer added Jason Starr timeline score: 3
Sep 12, 2013 at 13:56 comment added naf Moishezon manifolds are the same as smooth proper algebraic spaces over $\mathbb{C}$. The Nakai-Moishezon criterion is asserted to hold for algebraic spaces in mathoverflow.net/a/4586/519 .
Sep 12, 2013 at 12:58 history asked Rhys Davies CC BY-SA 3.0