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

MSC:
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)
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References:
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[4] Igusa, J.-I.: Some observations in higher degree characters. Am. J. Math.99, 393-417 (1977) · Zbl 0373.12008 · doi:10.2307/2373827
[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 · doi:10.2307/2373492
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