On the poles of a local zeta function for curves. (English) Zbl 0503.14009


14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14H25 Arithmetic ground fields for curves
14G20 Local ground fields in algebraic geometry
14H20 Singularities of curves, local rings
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
Full Text: DOI EuDML


[1] Bernstein, I.N., Gel’fand, S.I.: Meromorphic property of the functionP ?. Functional Anal. Appl.3, 68-69 (1969) · Zbl 0208.15201
[2] Hironaka, H.: Introduction to the Theory of Infinitely Near Singular Points, Memorias de Matematica del Istituto ?Jorge Juan?, 28,Madrid, 1974 · Zbl 0366.32007
[3] Igusa, J.-I.: On the first terms of certain asymptotic expansions. Complex analysis and algebraic geometry. (Baily, W.L., Jr., Shioda, T., eds.) Cambridge University Press, 1977, pp. 357-368
[4] Igusa, J.-I.: Some observations in higher degree characters. Am. J. Math.99, 393-417 (1977) · Zbl 0373.12008
[5] Strauss, L.: On the evaluation of certain integrals through desingularization. Ph.D. thesis; Johns Hopkins University, 1978
[6] Zariski, O.: Algebraic Surfaces. Ergeb. der Math., Springer (1932); Chelsea (1948) · JFM 61.0704.01
[7] Zariski, O.: Studies in equisingularity III, Saturation of local rings and equisingularity. Amer. J. Math.90, 961-1023 (1968) · Zbl 0189.21405
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.