Rank one case of Dwork’s conjecture

DOI10.1090/S0894-0347-00-00340-4zbMath1086.11031arXivmath/0005308OpenAlexW1881751170WikidataQ123109446 ScholiaQ123109446MaRDI QIDQ4501058

Daqing Wan

Publication date: 3 September 2000

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005308

zbMATH Keywords

zeta functions\(p\)-adic analysis\(\sigma\)-modulesalgebraic varieties over a finite field

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over finite and local fields (11G25) Zeta functions and (L)-functions (11S40)

Related Items

Canonical subgroups and p-adic vanishing cycles for abelian varieties, Zeta functions of totally ramified \(p\)-covers of the projective line, \(p\)-adic GKZ hypergeometric complex, \(L\)-functions associated with families of toric exponential sums, Meromorphy of the rank one unit root \(L\)-function revisited, Trivial factors for \(L\)-functions of symmetric products of Kloosterman sheaves, Minimal slope conjecture of \(F\)-isocrystals, Rationality of partial zeta functions, Kloosterman sums and Hecke polynomials in characteristics 2 and 3, L-functions ofp-adic characters, \(p\)-adic variation of unit root \(L\)-functions, Partial zeta functions of algebraic varieties over finite fields, Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers, L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS, Rationality and meromorphy of zeta functions, Higher rank case of Dwork’s conjecture, Newton polygons for \(L\)-functions of exponential sums of polynomials of degree six over finite fields.

Cites Work

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