Poles of a local zeta function and Newton polygons

Lichtin, Ben; Meuser, Diane

Lichtin, Ben ; Meuser, Diane

Compositio Mathematica, Tome 55 (1985) no. 3, pp. 313-332

MR Zbl | 5 citations dans Numdam

@article{CM_1985__55_3_313_0,
     author = {Lichtin, Ben and Meuser, Diane},
     title = {Poles of a local zeta function and {Newton} polygons},
     journal = {Compositio Mathematica},
     pages = {313--332},
     year = {1985},
     publisher = {Martinus Nijhoff Publishers},
     volume = {55},
     number = {3},
     mrnumber = {799820},
     zbl = {0606.14022},
     language = {en},
     url = {https://www.numdam.org/item/CM_1985__55_3_313_0/}
}

TY  - JOUR
AU  - Lichtin, Ben
AU  - Meuser, Diane
TI  - Poles of a local zeta function and Newton polygons
JO  - Compositio Mathematica
PY  - 1985
SP  - 313
EP  - 332
VL  - 55
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - https://www.numdam.org/item/CM_1985__55_3_313_0/
LA  - en
ID  - CM_1985__55_3_313_0
ER  -

%0 Journal Article
%A Lichtin, Ben
%A Meuser, Diane
%T Poles of a local zeta function and Newton polygons
%J Compositio Mathematica
%D 1985
%P 313-332
%V 55
%N 3
%I Martinus Nijhoff Publishers
%U https://www.numdam.org/item/CM_1985__55_3_313_0/
%G en
%F CM_1985__55_3_313_0

Lichtin, Ben; Meuser, Diane. Poles of a local zeta function and Newton polygons. Compositio Mathematica, Tome 55 (1985) no. 3, pp. 313-332. https://www.numdam.org/item/CM_1985__55_3_313_0/

Bibliographie
Cité par

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

[2] F. Ehlers and K.-C. Lo: Minimal Characteristic Exponent of the Gauss-Manin Connection of an Isolated Singular Point and Newton Polyhedron. Math. Ann. 259 (1982) 431-441. | Zbl | MR

[3] J.I. Igusa: Lectures on Forms of Higher Degree. Tata Institute Notes (1978). | Zbl | MR

[4] J.I. Igusa: Some observations on higher degree characters. Am. J. Math. 99, 393-417 (1977). | Zbl | MR

[5] A.G. Kouchnirenko, Polyedres de Newton et Nombres de Milnor. Inventiones math. 32, 1-32 (1976). | Zbl | MR

[6] B. Lichtin: Estimation of Lojasiewicz Exponents and Newton Polygons. Inventiones math. 64, 417-429 (1981). | Zbl | MR

[7] D. Meuser: On the Poles of a Local Zeta Function for Curves. Inventiones math. 73, 445-465 (1983). | Zbl | MR

[8] D. Mumford, G. Kempf, et al.: Toroidal Embeddings I, Lecture Notes in Mathematics 339, Berlin-Heidelberg-New York: Springer 1973. | Zbl | MR

[9] A.N. Varcenko: Asymptotic Hodge Structure in the Vanishing Cohomology. Math. USSR Izvestija. 183, 469-510 (1982). | Zbl

[10] A.N. Varcenko: Newton Polyhedra and Estimation of Oscillatory Integrands. Functional Anal. Appl. 10, 175-196 (1977). | Zbl

[11] A.N. Varcenko: Zeta Function of Monodromy and Newton's Diagram. Inventiones math. 37, 253-267 (1977). | Zbl

[12] V.A. Vasiliev,: Asymptotic Behavior of Exponential Integrals in the Complex Domain. Functional Analysis and its Applications. 13, 239-247 (1979). | Zbl | MR