# Natural Commuting of Vanishing Cycles and the Verdier Dual - Mathematics > Algebraic Geometry

Natural Commuting of Vanishing Cycles and the Verdier Dual - Mathematics > Algebraic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove that the shifted vanishing cycles and nearby cycles commute withVerdier dualizing up to a {\bf natural} isomorphism, even when the coefficientsare not in a field.

Author: David B. Massey

Source: https://arxiv.org/

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