Geodesic
Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 2, pp. 36-50.

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A. G. Khovanskii. Sums of Finite Sets, Orbits of Commutative Semigroups, and Hilbert Functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 2, pp. 36-50. http://geodesic.mathdoc.fr/item/FAA_1995_29_2_a3/

[1] Khovanskii A. G., “Mnogogrannik Nyutona, polinom Gilberta i summy konechnykh mnozhestv”, Funkts. analiz i ego pril., 26:4 (1992), 57–63 | MR

[2] Cox D., Little J., and O'Shea D., Ideals, Varieties, and Algorithms, Springer-Verlag, 1991 | MR

[3] Brion M., “Points entiers dans les polyedres convexes”, Ann. Sci. Ecole Norm. Sup., 21:4 (1988), 653–663 | DOI | MR | Zbl

[4] Pukhlikov A. V., Khovanskii A. G., “Teorema Rimana–Rokha dlya integralov i summ kvazipolinomov po virtualnym mnogogrannikam”, Algebra i analiz, 4:4 (1992), 188–216 | MR | Zbl

[5] Pukhlikov A. V., Khovanskii A. G., “Konechno-additivnye mery virtualnykh mnogogrannikov”, Algebra i analiz, 4:2 (1992), 161–185 | MR

[6] Brion M., Procesi C., “Action d'un tore dans une variete projective”, Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory, Birkhauser, 1990, 509–539 | MR

[7] Arnold I. V., “Ideale in kommutativeen Halbgruppen”, Math. Ann., 36 (1929), 401–407 | Zbl