Report on Igusa's local zeta function
Jan Denef (1990-1991)
Séminaire Bourbaki
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Displaying similar documents to “Degree of local zeta functions and monodromy”
Report on Igusa's local zeta function
On the behavior of Igusa,'s local zeta function in towers of field extension
Ben Lichtin (1984-1985)
Groupe de travail d'analyse ultramétrique
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On simple Igusa local zeta functions.
Martin, Roland (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Action of Aut (.../...) on Zeta-Integrals and Local Constants.
Stephen V. Ullom (1983)
Mathematische Zeitschrift
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A counterexample in the theory of local zeta functions.
Martin, Roland (1995)
Experimental Mathematics
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Holomorphy of local zeta functions for curves.
Willem Veys (1993)
Mathematische Annalen
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Monodromy conjecture for some surface singularities
E. Artal Bartolo, P. Cassou-Noguès, I. Luengo, A. Melle Hernández (2002)
Annales scientifiques de l'École Normale Supérieure
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A Note on Rationality of Orbital Integrals on a P-adic group.
Magdy Assern (1996)
Manuscripta mathematica
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On the Local Zeta Function of Quaternionic Shimura Varieties with Bad Reduction.
M. Rapoport (1987/88)
Mathematische Annalen
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On characteristic zeta functions
Dinesh S. Thakur (1995)
Compositio Mathematica
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The monodromy conjecture for zeta functions associated to ideals in dimension two
Lise Van Proeyen, Willem Veys (2010)
Annales de l’institut Fourier
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The monodromy conjecture states that every pole of the topological (or related) zeta function induces an eigenvalue of monodromy. This conjecture has already been studied a lot. However in full generality it is proven only for zeta functions associated to polynomials in two variables. In this article we work with zeta functions associated to an ideal. First we work in arbitrary dimension and obtain a formula (like the one of A’Campo) to compute the “Verdier monodromy” eigenvalues...