Finiteness of isomorphism classes of generic fibers in pointed locally trivial families of Q-factorial terminal primitive symplectic varieties with fixed special fiber, plus projective finiteness under semi-ampleness, with optimality via explicit infinite families.
Kovács and Max Lieblich, Erratum for Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich’s conjecture [mr2726098] , Ann
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Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture
Finiteness of isomorphism classes of generic fibers in pointed locally trivial families of Q-factorial terminal primitive symplectic varieties with fixed special fiber, plus projective finiteness under semi-ampleness, with optimality via explicit infinite families.