This is a preview of subscription content, log in via an institution to check access.
References
[AS1] Adolphson, A., Sperber, S.: Exponential sums and Newton polyhedra. Bull. Am. Math. Soc.16, 282–286 (1987)
[AS2] Adolphson, A., Sperber, S.: Exponential sums and Newton polyhedra, cohomology and estimates. Ann. Math.130, 367–406 (1989)
[AS3] Adolphson, A., Sperber, S.: Exponential sums on G nm . Invent. Math.101, 63–79 (1990)
[B] Brylinski, J.-L.: (Co-)Homologie d'Intersection et Faisceaux Pervers. Séminaire Bourbaki, no 585 (1981/82); Astérisque92–93 (1982)
[BBD] Beilinson, A., Bernstein, J., Deligne, P.: Faisceaux pervers. Astérisque100 (1983)
[BKKh] Bernstein, D., Kushnirenko, A.G., Khovanskii, A.G.: Newton polyhedra. Usp. Mat. Nauk31, 201–202 (1976)
[Da] Danilov, V.I.: The geometry of toric varieties. Russ. Math. Surv.33, 97–154 (1978)
[De] Deligne, P.: La conjecture de Weil II. Publ. Math. Inst. Hautes Étud. Sci.52, 137–252 (1980)
[F] Fieseler, K.-H.: Rational intersection cohomology of projective toric varieties. (Preprint)
[GM] Goresky, M., MacPherson, R.: Intersection homology II. Invent. Math.72, 77–130 (1983)
[Ka] Katz, N.: Sommes exponentielles. Astérisque79 (1980)
[Kh1] Khovanskii, A.G.: Newton polyhedra and toroidal varieties. Funct. Anal. Appl.11, 289–296 (1977)
[Kh2] Khovanskii, A.G.: Newton polyhedra and the genus of complete intersections. Funct. Anal. Appl.12, 38–46 (1978)
[KL] Kazhdan, D., Lusztig, G.: Schubert varieties and Poincaré duality (Proc. Symp. Pure math., vol. 36, pp. 185–203) Providence, RI: Am. Math. Soc. 1980
[Ko] Kouchnirenko, A.G.: Polyèdres de Newton et nombres de Milnor. Invent. Math.32, 1–31 (1976)
[MS] McMullen, P., Shephard, G.C.: Convex polytopes and the upper bound conjecture. (Lond. Math. Soc. Lect. Note Ser. vol. 3) Cambridge: Cambridge University Press 1971
[S] Stanley, R.: GeneralizedH-vectors, intersection cohomology of toric varieties, and related results. In: Nagata, N., Matsumura, H. (eds.) Commutative Algebra and Combinatorics (Adv. Stud. Pure Math., vol. 11, pp. 187–213) Amsterdam New York: North-Holland 1987
[SGA1] Grothendieck, A.: Revêtementsétales et groupe fondamental. (Lect. Notes Math., vol. 224) Berlin Heidelberg New York: Springer 1971
[SGA41/2] Deligne, P.: Cohomologie étale (Lect. Notes Math. vol. 569) Berlin Heidelberg New York: Springer 1977
[SGA7] Grothendieck, A., Deligne, P., Katz, N.: Groupes de monodromie en géometrie algébrique. (Lect. Notes Math. vols. 288, 340) Berlin Heidelberg New York: Springer 1972, 1973
Author information
Authors and Affiliations
Additional information
Oblatum 27-IV-1990
Rights and permissions
About this article
Cite this article
Denef, J., Loeser, F. Weights of exponential sums, intersection cohomology, and Newton polyhedra. Invent Math 106, 275–294 (1991). https://doi.org/10.1007/BF01243914
Issue Date:
DOI: https://doi.org/10.1007/BF01243914