On the zeta function of a projective complete intersection

zbMath1232.11092arXivmath/0610230MaRDI QIDQ733323

Alan Adolphson, Steven I. Sperber

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610230

zbMATH Keywords

\(p\)-adic Dwork cohomology\(p\)-adic estimates for the action of FrobeniusNewton polygon of the characteristic polynomial of Frobeniusprojective space over finite fieldsmooth complete intersection

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (p)-adic cohomology, crystalline cohomology (14F30) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (2)

Zeta functions of alternate mirror Calabi-Yau families ⋮ On the $L$-function of multiplicative character sums

Cites Work

• Exponential sums and Newton polyhedra: cohomology and estimates
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• On the Jacobian ring of a complete intersection
• La conjecture de Weil. I
• On the zeta function of a hypersurface. II
• On the zeta function of a hypersurface. I
• Frobenius and the Hodge filtration (estimates)
• Homogénéisation d'une poutre périodique : limite des développements asymptotiques
• Une introduction naïve aux cohomologies de Dwork
• Annulation et pureté des groupes de cohomologie rigide associés à des sommes exponentielles
• On the zeta function of a complete intersection
• Frobenius and the Hodge filtration
• Exponential sums on \(\mathbb{A}^n\).

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