First coniveau notch of the Dwork family and its mirror

dc.creatorChatzistamatiou, Andre
dc.date2008-04-15
dc.date2009-03-05
dc.date.accessioned2026-07-07T12:48:50Z
dc.date.available2026-07-07T12:48:50Z
dc.descriptionIf $X_λ$ is a smooth member of the Dwork family over a perfect field $k$, and $Y_λ$ is its mirror variety, then the motives of $X_λ$ and $Y_λ$ are equal up to motives that are in coniveau $\geq 1$. If $k$ is a finite field, this provides a motivic explanation for Wan's congruence between the zeta functions of $X_λ$ and $Y_λ$.
dc.description13 pages, new theorem on the number of rational points of a quotient singularity and a resolution
dc.identifierhttps://arxiv.org/abs/0804.2472
dc.identifierhttp://arxiv.org/abs/0804.2472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222194
dc.subjectAlgebraic Geometry
dc.titleFirst coniveau notch of the Dwork family and its mirror
dc.typetext

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