Poles of a local zeta function and Newton polygons

Ben Lichtin; Diane Meuser

Compositio Mathematica (1985)

  • Volume: 55, Issue: 3, page 313-332
  • ISSN: 0010-437X

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Lichtin, Ben, and Meuser, Diane. "Poles of a local zeta function and Newton polygons." Compositio Mathematica 55.3 (1985): 313-332. <http://eudml.org/doc/89724>.

@article{Lichtin1985,
author = {Lichtin, Ben, Meuser, Diane},
journal = {Compositio Mathematica},
keywords = {toroidal singularities; Mellin transform; zeta function; poles of the continuation; Newton polygon},
language = {eng},
number = {3},
pages = {313-332},
publisher = {Martinus Nijhoff Publishers},
title = {Poles of a local zeta function and Newton polygons},
url = {http://eudml.org/doc/89724},
volume = {55},
year = {1985},
}

TY - JOUR
AU - Lichtin, Ben
AU - Meuser, Diane
TI - Poles of a local zeta function and Newton polygons
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 3
SP - 313
EP - 332
LA - eng
KW - toroidal singularities; Mellin transform; zeta function; poles of the continuation; Newton polygon
UR - http://eudml.org/doc/89724
ER -

References

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  1. [1] V.I. Danilov: The geometry of toric varieties. Russian Math Surveys33:2 (1978) 97-154. Zbl0425.14013MR495499
  2. [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. Zbl0469.32004MR660039
  3. [3] J.I. Igusa: Lectures on Forms of Higher Degree. Tata Institute Notes (1978). Zbl0417.10015MR546292
  4. [4] J.I. Igusa: Some observations on higher degree characters. Am. J. Math.99, 393-417 (1977). Zbl0373.12008MR441933
  5. [5] A.G. Kouchnirenko, Polyedres de Newton et Nombres de Milnor. Inventiones math.32, 1-32 (1976). Zbl0328.32007MR419433
  6. [6] B. Lichtin: Estimation of Lojasiewicz Exponents and Newton Polygons. Inventiones math.64, 417-429 (1981). Zbl0556.32003MR632982
  7. [7] D. Meuser: On the Poles of a Local Zeta Function for Curves. Inventiones math.73, 445-465 (1983). Zbl0503.14009MR718941
  8. [8] D. Mumford, G. Kempf, et al.: Toroidal Embeddings I, Lecture Notes in Mathematics339, Berlin-Heidelberg-New York: Springer1973. Zbl0271.14017MR335518
  9. [9] A.N. Varcenko: Asymptotic Hodge Structure in the Vanishing Cohomology. Math. USSR Izvestija.183, 469-510 (1982). Zbl0489.14003
  10. [10] A.N. Varcenko: Newton Polyhedra and Estimation of Oscillatory Integrands. Functional Anal. Appl.10, 175-196 (1977). Zbl0351.32011
  11. [11] A.N. Varcenko: Zeta Function of Monodromy and Newton's Diagram. Inventiones math.37, 253-267 (1977). Zbl0333.14007
  12. [12] V.A. Vasiliev,: Asymptotic Behavior of Exponential Integrals in the Complex Domain. Functional Analysis and its Applications.13, 239-247 (1979). Zbl0435.32002MR554406

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