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arxiv: 0908.2799 · v1 · pith:UBLRJ5XQnew · submitted 2009-08-19 · 🧮 math.AG

Natural Commuting of Vanishing Cycles and the Verdier Dual

classification 🧮 math.AG
keywords cyclesnaturalvanishingverdiercoefficientscommutecommutingdual
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We prove that the shifted vanishing cycles and nearby cycles commute with Verdier dualizing up to a {\bf natural} isomorphism, even when the coefficients are not in a field.

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