Projective Kummer-type manifolds with finite-order symplectic birational self-maps acting nontrivially on H² are twisted modular except for Picard rank 3 cases characterized by their NS lattices; specific Mukai vectors are identified for finite-order wall-crossing maps on modular examples.
Duke Math
3 Pith papers cite this work, alongside 469 external citations. Polarity classification is still indexing.
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A new proof of Li's theorem on geometric Bridgeland stability conditions on projective spaces is given via quotient stack restriction.
The paper proves continuity of deformed mass and phase functions on stability condition spaces, deduces a homeomorphic embedding into measures, and establishes a triangle inequality plus truncation estimates.
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Finite order symplectic birational self-maps on Kummer-type manifolds
Projective Kummer-type manifolds with finite-order symplectic birational self-maps acting nontrivially on H² are twisted modular except for Picard rank 3 cases characterized by their NS lattices; specific Mukai vectors are identified for finite-order wall-crossing maps on modular examples.
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A note on stability conditions on projective spaces
A new proof of Li's theorem on geometric Bridgeland stability conditions on projective spaces is given via quotient stack restriction.
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Properties of deformed mass and phase functions
The paper proves continuity of deformed mass and phase functions on stability condition spaces, deduces a homeomorphic embedding into measures, and establishes a triangle inequality plus truncation estimates.