\(L\)-functions and monodromy: four lectures on Weil II

DOI10.1006/aima.2000.1979zbMath1016.14011OpenAlexW1976565731WikidataQ56209871 ScholiaQ56209871MaRDI QIDQ5940001

Nicholas M. Katz

Publication date: 20 August 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2000.1979

zbMATH Keywords

\(L\)-functionsWeil conjectures

Mathematics Subject Classification ID

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) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items

Notes on isocrystals ⋮ RIGID LOCAL SYSTEMS ON WITH FINITE MONODROMY ⋮ \(G_{2}\) and some exceptional Witt vector identities ⋮ Wild ramification and \(K(\pi , 1)\) spaces ⋮ The cohomology of semi-infinite Deligne-Lusztig varieties ⋮ Rank 3 rigid representations of projective fundamental groups ⋮ On the conductor of cohomological transforms ⋮ Étale covers of affine spaces in positive characteristic. ⋮ Notes on \(G_{2}\), determinants, and equidistribution ⋮ Rational points on cubic hypersurfaces over \(\mathbb F_q(t)\)

Cites Work

• Fourier transformat, constants of the functional equations and Weil conjecture
• Space filling curves over finite fields
• La conjecture de Weil. I
• Coverings of Algebraic Curves
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
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