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Ben-Bassat, O · 2015 · arXiv 1312.0090

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math.AG 2

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2026 2

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Semiorthogonal decompositions for stacks

math.AG · 2026-05-25 · unverdicted · novelty 6.0

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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  • Semiorthogonal decompositions for stacks math.AG · 2026-05-25 · unverdicted · none · ref 13

    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.

  • Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures math.AG · 2026-06-29 · unverdicted · none · ref 71 · 2 links

    Proves Lagrangian correspondences in nonabelian Hodge theory for perfect complexes and establishes canonical shifted pretwistor structures on the Deligne-Hitchin-Simpson moduli stack over P^1_C.