Newton stratification for polynomials: the open stratum

DOI10.1016/j.jnt.2006.06.009zbMath1197.11157arXivmath/0603264OpenAlexW2044436595MaRDI QIDQ2370194

Régis Blache, Éric Férard

Publication date: 22 June 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603264

zbMATH Keywords

Newton polygon\(p\)-adic cohomologyNewton strata\(L\)-functions of exponential sumsHasse polynomials

Mathematics Subject Classification ID

Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (11)

Generic \(T\)-adic exponential sums in one variable ⋮ NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES ⋮ Generic exponential sums associated with polynomials of degree 3 in two variables ⋮ Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic ⋮ Generic twisted \(T\)-adic exponential sums of polynomials ⋮ Regular decomposition of ordinarity in generic exponential sums ⋮ Some unlikely intersections between the Torelli locus and Newton strata in \(\mathcal{A}_g\) ⋮ Hasse-Witt matrices for polynomials, and applications ⋮ L-functions of symmetric powers of cubic exponential sums ⋮ Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case. ⋮ Generic Newton polygon of the \(L\)-function of \(n\) variables of the Laurent polynomial I

Cites Work

• Exponential sums and Newton polyhedra: cohomology and estimates
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields.
• The first slope case of Wan's conjecture.
• On the zeta function of a hypersurface. I
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• On the p-adic Theory of Exponential Sums
• Annulation et pureté des groupes de cohomologie rigide associés à des sommes exponentielles
• p -adic variation of L functions of one variable exponential sums, I
• Asymptotic variation of L functions of one-variable exponential sums
• Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields
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