A note on relative duality for Voevodsky motives

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概要

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• Let $k$ be a perfect field which admits resolution of singularities in the sense of Friedlander and Voevodsky (for example, $k$ of characteristic $0$). Let $X$ be a smooth proper $k$-variety of pure dimension $n$ and $Y,Z$ two disjoint closed subsets of $X$. We prove an isomorphism \[ M(X-Z,Y)\simeq M(X-Y,Z)^*(n)[2n], \] where $M(X-Z,Y)$ and $M(X-Y,Z)$ are relative Voevodsky motives, defined in his triangulated category $\operatorname{DM}_{\rm gm}(k)$.

• 東北大学の論文

著者

• Barbieri-viale Luca

  Dipartimento Di Matematica Pura E Applicata Universita Degli Studi Di Padova

• Kahn Bruno

  Institut De Mathematiques De Jussieu

関連論文

• A note on relative duality for Voevodsky motives

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