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Lattice points in simple polytopes
Author(s):
Michel
Brion;
Michèle
Vergne
Journal:
J. Amer. Math. Soc.
10
(1997),
371-392.
MSC (1991):
Primary 52B20;
Secondary 11P21
MathSciNet review:
1415319
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Additional information
References:
- 1.
- M. F. Atiyah, Elliptic operators and compact groups, Lecture Notes in Mathematics, vol. 401, Springer, 1974. MR 58:2910
- 2.
- S. E. Cappell, J. L. Shaneson, Genera of algebraic varieties and counting lattice points, Bull. A.M.S. (New series) 30 1994, 62-69. MR 94f:14018
- 3.
- W. Fulton, Introduction to toric varieties, Ann. of Math. Study 131, Princeton University Press, 1993. MR 94g:14028
- 4.
- V. Ginzburg, V. Guillemin and Y. Karshon, Cobordism techniques in symplectic geometry, The Carus Mathematical Monographs, Mathematical Association of America, to appear.
- 5.
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- 6.
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 , C. R. Acad. Sci. Paris , Série I 317 1993, 501-507. MR 94k:52018 - 7.
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 -manifolds, Osaka J. Math. 16 1979, 151-159. MR 80f:58042 - 8.
- A. G. Khovanskii, A. V. Pukhlikov, A Riemann-Roch theorem for integrals and sums of quasipolynomials over virtual polytopes, St. Petersburg Math. J. 4 1993, 789-812. MR 94c:14044
- 9.
- J. Pommersheim, Toric varieties, lattice points and Dedekind sums, Math. Ann. 295 1993, 1-24. MR 94c:14043
- 10.
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- 11.
- G. Ziegler, Lectures on polytopes, Graduate Texts in Mathematics, vol. 152, Springer-Verlag, 1995. MR 96a:52011
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Additional Information:
Michel
Brion
Affiliation:
Ecole Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France
Email:
mbrion@fourier.ujf-grenoble.fr
Michèle
Vergne
Affiliation:
DMI, Ecole Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France
Email:
vergne@dmi.ens.fr
DOI:
10.1090/S0894-0347-97-00229-4
PII:
S 0894-0347(97)00229-4
Keywords:
Simple lattice polytope,
Euler-Maclaurin summation formula
Received by editor(s):
October 3, 1996
Received by editor(s) in revised form:
October 16, 1996
Copyright of article:
Copyright
1997,
American Mathematical Society
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