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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
6
votes
Do finitely many plurigenera determine the Kodaira dimension?
I don't know the answer, but the survey Boundedness results in birational geometry by Hacon and McKernan cites some results and conjectures that might be useful.
I think your second question would ha …
12
votes
1
answer
899
views
Infinitely many minimal models
There are examples of elliptic fiber spaces over a two-dimensional base which have infinitely many relative minimal models (where two abstractly isomorphic models connected by flops are counted separa …