The geometry of the third moment of exponential sums

DOI10.5802/jtnb.648zbMath1201.11085OpenAlexW4300291059MaRDI QIDQ1026982

Florent Jouve

Publication date: 30 June 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2008__20_3_733_0

zbMATH Keywords

number of rational points on smooth projective surfacesthird moment of Kloosterman sums

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• La conjecture de Weil. II
• Explicit resolutions of double point singularities of surfaces.
• Über die Kloostermanschen Summen \(S(u,v;q)\)
• Modularity of a certain Calabi-Yau threefold
• The \(L\)-series of certain rigid Calabi-Yau threefolds
• The geometry of some special arithmetic quotients
• On the cubes of Kloosterman sums
• On Lehmer's Congruence Associated with Cubes of Kloosterman's Sums
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Supersingular $K3$ surfaces
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
• Note on a Paper of Birch
• L-functions for symmetric products of Kloosterman sums
• Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families.

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