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Equivariant unirationality of Fano threefolds
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We study unirationality of actions of finite groups on Fano threefolds.
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Cited by 4 Pith papers
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Equivariant unirationality of toric varieties
For smooth projective toric varieties with a finite group action preserving the dense torus, equivariant unirationality is equivalent to the vanishing of the equivariant universal torsor obstruction class ∂(1_Pic(X)).
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Equivariant geometry of cubic threefolds with non-isolated singularities
Every finite group action on a cubic threefold singular along a line, plane, or the chordal curve is linearizable; actions on cubics singular along a conic are generally not linearizable, though all such actions are u...
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Smooth Fano 3-folds satisfying Condition (A)
Smooth Fano 3-folds are classified by Condition (A): all members of 35 families satisfy it, no members of 32 families satisfy it, and the remaining 38 families contain members that fail it.
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K-stability of Fano 3-folds in the World of Null-A
Every smooth Fano 3-fold that fails Condition (A), meaning it has a finite abelian automorphism group with no fixed point, is K-polystable except for eight explicit deformation families.
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