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[BC25] L · arXiv 2506.06051

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math.RT 1

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2026 1

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Faithful perversities

math.RT · 2026-04-28 · unverdicted · novelty 7.0

Faithful highest weight hearts equal serially faithful glued hearts with dual exceptional collections; faithful perverse categories on finite-strata spaces have global dimension at most dim(X), with hypercohomology computable from constant sheaf resolutions via intersection cohomology.

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  • Faithful perversities math.RT · 2026-04-28 · unverdicted · none · ref 3

    Faithful highest weight hearts equal serially faithful glued hearts with dual exceptional collections; faithful perverse categories on finite-strata spaces have global dimension at most dim(X), with hypercohomology computable from constant sheaf resolutions via intersection cohomology.