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Duality between cartier crystals and perverse F _p -sheaves, and application to generic vanishing

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math.AG 1

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2026 1

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$F$-finite schemes have a dualizing complex

math.AG · 2026-04-21 · unverdicted · novelty 7.0

Every Noetherian F-finite scheme has a canonical dualizing complex ω^•_X such that ω^•_X ≅ f! ω^•_Y for any finite type map f between F-finite Noetherian schemes.

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  • $F$-finite schemes have a dualizing complex math.AG · 2026-04-21 · unverdicted · none · ref 4

    Every Noetherian F-finite scheme has a canonical dualizing complex ω^•_X such that ω^•_X ≅ f! ω^•_Y for any finite type map f between F-finite Noetherian schemes.