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Newton Polyhedra and Igusa's Local Zeta Function

✍ Scribed by Jan Denef; Kathleen Hoornaert

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
275 KB
Volume
89
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

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This paper describes the theory of the Igusa local zeta function associated with a polynomial f (x) with coefficients in a p-adic local field K. Results are given in two cases where f (x) is the determinant of a Hermitian matrix of degree m with coefficients in: (1) a ramified quadratic extension of

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We give an explicit description of functional equations satisfied by zeta functions on the space of unramified hermitian forms over a p-adic field. Further, as an application, we give explicit expressions of local densities of integral representations of nondegenerate unramified hermitian matrices w