Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
2025), arXiv: 2509.21298v3
2 Pith papers cite this work. Polarity classification is still indexing.
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Perverse character varieties are proven to be quasi-affine via a purely stack-theoretic construction exhibiting sections of the structure sheaf.
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Semiorthogonal decompositions for stacks
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
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(Quasi-)affineness of perverse character varieties
Perverse character varieties are proven to be quasi-affine via a purely stack-theoretic construction exhibiting sections of the structure sheaf.