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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.

Properties of deformed mass and phase functions

math.AG · 2026-05-29 · unverdicted · novelty 4.0

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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  • Semiorthogonal decompositions for stacks math.AG · 2026-05-25 · unverdicted · none · ref 5

    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.

  • Properties of deformed mass and phase functions math.AG · 2026-05-29 · unverdicted · none · ref 23

    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.