This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
K. Behrend, The Lefschetz trace formula for algebraic stacks, Invent. Math., 112 (1993), 127–149.
P. Colmez and J.-M. Fontaine, Construction des représentations p-adiques semistables, Invent. Math., 140 (2000), 1–43.
H. Darmon, F. Diamond, and R. Taylor, Fermat’s last theorem, in Elliptic Curves, Modular Forms and Fermat’s Last Theorem (Hong Kong 1993), International Press, Cambridge, UK, 1997, 2–140.
P. Deligne, La conjecture de Weil I, Publ. Math. IHES, 43 (1974), 273–307.
P. Deligne, Théorie de Hodge III, Publ. Math. IHES, 44 (1974), 5–77.
A. J. de Jong, Smoothness, semi-stability and alterations, Publ. Math. IHES, 83 (1996), 51–93.
G. Laumon and L. Moret-Bailly, Champs algébriques, Springer-Verlag, Berlin, 2000.
M. Boggi and M. Pikaart, Galois covers of moduli of curves, Compositio Math., 120 (2000), 171–191.
J. H. M. Steenbrink, Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities (Oslo 1976), Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1977, 525–563.
T. Tsuji, Semi-stable conjecture of Fontaine-Jannsen: A survey, in Cohomologies padiques et applications arithmétiques (II), Astérisque 279, Société Mathématique de France, Paris, 2002, 323–370.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Birkhäuser Boston
About this chapter
Cite this chapter
van den Bogaart, T., Edixhoven, B. (2005). Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial. In: van der Geer, G., Moonen, B., Schoof, R. (eds) Number Fields and Function Fields—Two Parallel Worlds. Progress in Mathematics, vol 239. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4447-4_2
Download citation
DOI: https://doi.org/10.1007/0-8176-4447-4_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4397-3
Online ISBN: 978-0-8176-4447-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)