Crew's Euler characteristic formula fails for nonzero slopes

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dc.creatorKedlaya, Kiran S.
dc.date2001-05-15
dc.date.accessioned2026-07-07T04:41:43Z
dc.date.available2026-07-07T04:41:43Z
dc.descriptionA result of Crew implies that for an etale Galois p-cover of smooth proper varieties over a field of characteristic p, the alternating sum of the p-ranks of the cohomology groups behave like Euler characteristics in characteristic 0. That is, the sum for the top curve equals the sum for the bottom curve times the degree of the cover. We exhibit an example to show that this relation fails in general if the p-rank is replaced by the part of some fixed slope (other than 0).
dc.description2 pages
dc.identifierhttps://arxiv.org/abs/math/0105123
dc.identifierhttp://arxiv.org/abs/math/0105123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61472
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H30; 11G20
dc.titleCrew's Euler characteristic formula fails for nonzero slopes
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