On the degree of a local zeta function
Meuser, Diane
Compositio Mathematica, Tome 61 (1987), p. 17-29 / Harvested from Numdam
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Publié le : 1987-01-01
@article{CM_1987__62_1_17_0,
     author = {Meuser, Diane},
     title = {On the degree of a local zeta function},
     journal = {Compositio Mathematica},
     volume = {61},
     year = {1987},
     pages = {17-29},
     mrnumber = {892148},
     zbl = {0627.14020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1987__62_1_17_0}
}

Meuser, Diane. On the degree of a local zeta function. Compositio Mathematica, Tome 61 (1987) pp. 17-29. http://gdmltest.u-ga.fr/item/CM_1987__62_1_17_0/

Danilov, V.I.: The geometry of toric varieties. Russian Math. Surveys 33: 2 (1978) 97-154. | MR 495499 | Zbl 0425.14013

Denef, J.: Poles of complex powers and Newton polyhedron. To appear in Groupe d'Etude d'Analyse Ultrametrique, Paris '84-'85. | Numdam | Zbl 0591.14016

Igusa, J.-I.: Some observations on higher degree characters. Amer. J. Math. 99 (1977) 393-417. | MR 441933 | Zbl 0373.12008

Igusa, J.-I.: Some results on p-adic complex powers. Amer. J. Math. 106 (1984) 1013-1032. | MR 761577 | Zbl 0589.14023

Igusa, J.-I.: Some aspects of the arithmetic theory of polynomials. Preprint (1986). | MR 900822

Kouchnirenko, A.G.: Polyèdres de Newton et nombres de Milnor. Invent. Math. 32 (1976) 1-32. | MR 419433 | Zbl 0328.32007

Lichtin, B.: Estimation of Lojasiewicz exponents and Newton polygons. Invent. Math. 64 (1981) 417-429. | MR 632982 | Zbl 0556.32003

Lichtin, B. and Meuser, D.: Poles of a local zeta function and Newton polygons. Compositio Math. 55 (1985) 313-332. | Numdam | MR 799820 | Zbl 0606.14022

Shimura, G.: Reduction of algebraic varieties with respect to a discrete valuation of the basic field. Amer. J. Math. 77 (1955) 134-176. | MR 66687 | Zbl 0065.36701

Varchenko, A.N.: Zeta function of monodromy and Newton's diagram. Invent. Math. 37 (1977) 253-267. | Zbl 0333.14007