I have always had problems in understanding what people mean when they say "the generalized Theorem of ...". For instance, I seem to understand that there are a few different generazlized Noether-Lefschetz theorems. Can someone list the different versions?
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$\begingroup$ The set of smooth projective K3 surfaces with Picard number $\rho$ has codimension $\rho−1$ in the moduli space. $\endgroup$– J.C. OttemCommented Apr 15, 2012 at 13:26
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$\begingroup$ One generalization is to allow singularities. I believe that Srinivas and Ravindra wrote a paper generalizing the theorem to normal 3 folds. $\endgroup$– mehCommented Apr 15, 2012 at 14:47
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