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.
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3 Pith papers cite this work. Polarity classification is still indexing.
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The Kawamata-Morrison cone conjecture holds for Q-factorial terminal projective primitive symplectic varieties with b2 > 5 over characteristic zero fields, with an application to relative movable and nef cone conjectures for fibrations.
Introduces well-clipped cones to prove the movable cone conjecture for finite quotients of Calabi-Yau type varieties and Galois descent for abelian varieties over perfect fields.
citing papers explorer
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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.
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The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application
The Kawamata-Morrison cone conjecture holds for Q-factorial terminal projective primitive symplectic varieties with b2 > 5 over characteristic zero fields, with an application to relative movable and nef cone conjectures for fibrations.
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Well-clipped cones under finite quotients and applications to the cone conjecture
Introduces well-clipped cones to prove the movable cone conjecture for finite quotients of Calabi-Yau type varieties and Galois descent for abelian varieties over perfect fields.