@article{BSMF_1995__123_2_155_0,
author = {Nakamaye, Michael},
title = {Multiplicity estimates and the product theorem},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
volume = {123},
year = {1995},
pages = {155-188},
doi = {10.24033/bsmf.2255},
mrnumber = {96i:14038},
zbl = {0841.11037},
language = {en},
url = {http://dml.mathdoc.fr/item/BSMF_1995__123_2_155_0}
}
Nakamaye, Michael. Multiplicity estimates and the product theorem. Bulletin de la Société Mathématique de France, Tome 123 (1995) pp. 155-188. doi : 10.24033/bsmf.2255. http://gdmltest.u-ga.fr/item/BSMF_1995__123_2_155_0/
[B] . - Lemmes de zéros et nombres transcendants, Séminaire Bourbaki, 38-ème année, 1985-86, exposé n° 652, S.M.F. Astérisque, 145-146, 1987, p. 21-44. | Numdam | MR 89a:11074 | Zbl 0613.14001
[BEL] , and . - Vanishing theorems, a theorem of Severi, and the equations defining projective varieties, Journal of the AMS, t. 4, 3, 1991, p. 587-602. | MR 92g:14014 | Zbl 0762.14012
[Br] . - Note on a paper of P. Philippon, Michigan Math J., t. 34, 1987, p. 461-464. | MR 89a:11075 | Zbl 0634.14002
[CH] . - On the projective embedding of homogeneous varieties, in Algebraic Geometry and Topology: A Symposium in Honor of S. Lefschetz, Princeton University Press, 1957, p. 122-28.. | MR 18,936c | Zbl 0091.33302
[EL] and . - Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension, Invent. Math., t. 111, 1993, p. 51-67. | MR 93m:13006 | Zbl 0814.14040
[F] . - Diophantine Approximation on Abelian Varieties, Ann. of Math., t. 133, 1991, p. 549-576. | MR 93d:11066 | Zbl 0734.14007
[F-L] and . - Positivity and excess intersections, in Enumerative and classical geometry, Nice 1981, Progress in Math. 24, Birkhäuser, 1982, p. 97-105. | MR 84f:14007 | Zbl 0501.14003
[Fu] . - Intersection Theory. - Springer Ergebnisse, 1984. | MR 85k:14004 | Zbl 0541.14005
[G] . - Excess intersections and a correspondence principle, Invent. Math., t. 103, 1991, p. 197-221. | MR 92c:14005 | Zbl 0733.14002
[G-G] and . - Stable Mappings and Their Singularities. - Springer, 1973. | MR 49 #6269 | Zbl 0294.58004
[G-R] and . - Coherent Analytic Sheaves. - Springer Grundlehren 265, 1984. | MR 86a:32001 | Zbl 0537.32001
[H] . - Algebraic Geometry. - Springer-Verlag, 1977. | MR 57 #3116 | Zbl 0367.14001
[K] . - The transversality of a general translate, Compositio Math., t. 38, 1974, p. 287-297. | Numdam | MR 50 #13063 | Zbl 0288.14014
[KL1] and . - Commutative algebraic groups and intersections of quadrics, Math. Ann., t. 267, 1984, p. 555-71. | MR 86f:14031 | Zbl 0544.14028
[KL2] and . - Some remarks on compactifications of commutative algebraic groups, Comment. Math. Helv., t. 60, 1985, p. 497-507. | MR 87e:14042 | Zbl 0587.14030
[L] . - Families of translations of commutative algebraic groups, J. Algebra, t. 109, 1987, p. 260-65. | MR 88i:14043 | Zbl 0657.14026
[La1] . - Hyperbolic and Diophantine Analysis, Bull. Amer. Math. Soc., t. 14, 1986, p. 159-205. | MR 87h:32051 | Zbl 0602.14019
[La2] . - Fundamentals of Diophantine Geometry. - Springer, 1983. | MR 85j:11005 | Zbl 0528.14013
[Ma] . - Commutative Ring Theory. - Cambridge University Press, 1986. | MR 88h:13001 | Zbl 0603.13001
[M] . - Zero estimates on group varieties, Proc. ICM, Warszawa, 1983, vol. 1, p. 493-502. | MR 86k:11036 | Zbl 0564.10040
[MW1] and . - Zero estimates on group varieties I, Invent. Math., t. 64, 1981, p. 489-516. | MR 83d:10040 | Zbl 0467.10025
[MW2] and . - Zero estimates on group varieties II, Invent. Math., t. 80, 1985, p. 233-267. | MR 86h:11054 | Zbl 0564.10041
[Mo] . - Démonstrations géométriques de lemmes de zéros II, Birkhäuser Prog. Math., t. 31, 1983, p. 191-7. | MR 86b:11051b | Zbl 0578.10040
[N] . - Estimates for orders of zeroes of functions of a certain class and applications in the theory of transcendental numbers, Math USSR Izv., t. 11, 1977, p. 239-270. | Zbl 0378.10022
[P-V] and . - Remarks on the algebraic approach to intersection theory, Monatsh. Math., t. 96, 1983, p. 233-250. | MR 85d:14011 | Zbl 0518.14028
[P1] . - Lemmes de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France, t. 114, 1986, p. 355-383. | Numdam | MR 89c:11111 | Zbl 0617.14001
[P2] . - Errata et addenda à "Lemmes de zéros dans les groupes algébriques commutatifs", Bull. Soc. Math. France, t. 115, 1987, p. 397-398. | Numdam | MR 89j:11068 | Zbl 0634.14001
[S-V] and . - An algebraic approach to intersection theory, in Geramita, A. V. (ed.) The Curves Seminar at Queen's University, Vol. II, Queen's papers Pure Appl. Math. 61 (1982), p. 1-32. | MR 86e:13024 | Zbl 0599.14003
[V] . - Results on Béezout's theorem, Tata Lecture Notes vol. 74, Springer, 1984. | MR 86f:14003 | Zbl 0553.14022
[W1] . - Neue Methoden in der Theorie der transzendenten Zahlen. - Habilitationsschrift, Wuppertal, 1982.
[W2] . - Multiplicity estimates on group varieties, Ann. of Math., t. 129, 1989, p. 471-500. | MR 90g:11100 | Zbl 0675.10024
[Wa] . - On Hilbert's function, series of composition of ideals and a generalization of the theorem of Bézout, Proc. Roy. Soc. Amsterdam, t. 31, 1929, p. 749-770. | JFM 54.0190.02
[Wa1] . - Nombres transcendants et groupes algébriques, Astérisque, t. 69-70, 1979. | MR 82k:10041 | Zbl 0428.10017