On the zeta function of a complete intersection

DOI10.24033/asens.1741zbMath0911.11030OpenAlexW34726295MaRDI QIDQ4889770

Alan Adolphson, Steven I. Sperber

Publication date: 24 September 1996

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1996_4_29_3_287_0

zbMATH Keywords

Newton polygoncharacteristic polynomialhypersurfacesWeil conjecturesHodge polygontwisted de Rham theory\(p\)-adic Dwork cohomologyexponential modulesKatz conjecturemiddle-dimensional cohomologyzeta function of the complete intersection

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over finite and local fields (11G25) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

On the Jacobian ring of a complete intersection ⋮ Regular decomposition of ordinarity in generic exponential sums ⋮ Motivic Milnor fibers and Jordan normal forms of Milnor monodromies ⋮ On the zeta function of a projective complete intersection

Cites Work

• Exponential sums and Newton polyhedra: cohomology and estimates
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• Newton polyhedra and toroidal varieties
• Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
• Polyedres de Newton et nombres de Milnor
• On the zeta function of a hypersurface. I
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• NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE–DELIGNE NUMBERS
• On the Zeta Function of Biprojective Complete Intersections
• On the Zeta Function of an Algebraic Variety
• Frobenius and the Hodge filtration
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