Geodesic
Da Tarski a Hrushovski: Nascita e splendori della Teoria dei Modelli
Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 2, pp. 287-300.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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Marcja, Annalisa. Da Tarski a Hrushovski: Nascita e splendori della Teoria dei Modelli. Bollettino della Unione matematica italiana, Série 8, 3B (2000) no. 2, pp. 287-300. http://geodesic.mathdoc.fr/item/BUMI_2000_8_3B_2_a1/

[AKa] J. Ax-S. Kochen, Diophantine problems over local fields I, Am. J. Math., 87 (1965), 605-630. | MR | Zbl

[AKb] J. Ax-S. Kochen, Diophantine problems over local fields II: A complete set of axioms for $p$-adic number theory, Am. J. Math., 87 (1965), 631-648. | MR | Zbl

[AKc] J. Ax-S. Kochen, Diophantine problems over local fields III: Decidable fields, Ann. of Math., 83 (1966), 437-456. | MR | Zbl

[Bl] L. Blum, Generalized Algebraic Theories, Thesis (1968) M.I.T. Press, Cambridge, MA.

[Bu92] A. Buium, Intersections in jet spaces and a conjecture of S. Lang, Annals of Math., 136 (1992), 557-567. | MR | Zbl

[CH] Z. Chatzidakis-E. Hrushovski, Model Theory of difference fields, Trans. Amer. Math. Soc., 351 Nr. 8 (1999) (in corso di stampa). | MR | Zbl

[CHP] Z. Chatzidakis-E. Hrushovski-Y. Peterzil, Model Theory of difference fields II (preprint). | MR | Zbl

[ES] P. Eklof-G. Sabbagh, Model Completions and Modules, Ann. Math. Logic, 2 (1970-71), 251-295. | MR | Zbl

[E65] U. L. Eršov, On the elementary theory of maximal normed fields, Dokl. Akad. Nauk. SSSR, 165 (1965) (Traduzione inglese in Sov. Math. Dokl., 1390-1393). | MR | Zbl

[E67] U. L. Eršov, Fields with a solvable theory, Dokl. Akad. Nauk. SSSR, 174 (1967), 19-20 (Traduzione inglese in Sov. Math. Dokl., 8, 575-576). | MR | Zbl

[F83] G. Faltings, Endlichkeitssatze fur abelsche Varietaten uber Zahlkorpen, Inventiones Math., 73 (1983), 349-366. | MR | Zbl

[F94] G. Faltings, The general case of S. Lang's conjecture, in Barsotti Symposium in Algebraic Geometry, Academic Press, 1994. | MR | Zbl

[Fi] E. Fisher, Abelian structures, Yale University 1974/75. | Zbl

[Hi88] M. Hindry, Autour d'une conjecture de Serge Lang, Inventiones Math., 94 (1988), 575-603. | MR | Zbl

[H96] E. Hrushovski, The first order of the Frobenius (preprint 96).

[H96a] E. Hrushovski, The Mordell Lang conjecture for function fields, Journal of AMS, 9 (1996), 667-690. | MR | Zbl

[H96b] E. Hrushovski, Difference fields and the Manin-Mumford conjecture (preprint 1996).

[La91] S. Lang, Number Theory III: Diophantine Geometry, Encyclopedia of Math. Sciences, 60, Springer Verlag (1991). | MR | Zbl

[M] A. Macintyre, On algebraically closed groups, Ann. Math., 95 (1972), 53-97. | MR | Zbl

[M97] A. Macintyre, Generic automorphisms of fields, Ann. P. Appl. Logic, 88 (1997), 165-180. | MR | Zbl

[M9x] A. Macintyre, Nonstandard Frobenius (in preparazione).

[Ma63] U. Manin, Rational points of algebraic curves over function fields, Izv. Akad. Nauk SSSR, 27 (1963), 1395-1440 (Tranlations of AMS, 344 (1966), 189-234). | MR | Zbl

[MT] A. Marcja-C. Toffalori, Introduzione alla Teoria dei Modelli, Quaderni dell'Unione Matematica Italiana 43, Pitagora Editrice, Bologna (1998). | Zbl

[Pi97] A. Pillay, Model theory and diophantine geometry, Bull. Amer. Math. Soc., 34 (1997), 405-422. | MR | Zbl

[P] M. Prest, Model Theory and Modules, London Mathematical Society Lecture Notes Series 130, Cambridge University Press (1988). | MR | Zbl

[Ra83] M. Raynaud, Sous-variétés d'une variété abélienne et points de torsion, in Arithmetic and Geometry, vol. I, Birkhauser (1983). | MR | Zbl

[R] A. Robinson, On the concept of a differentially closed field, Bull. Res. Council Israel, sect. F, 8F (1959), 113-128. | MR | Zbl

[Sa66] P. Samuel, Complements a un article de Hans Grauert sur la conjecture de Mordell, Pub. Math. IHES, 29 (1966), 55-62. | fulltext mini-dml | MR | Zbl

[S] A. Seidenberg, A new decision method for elementary algebra, Ann. Math. sec. 2, 60 (1954), 365-374. | MR | Zbl

[Sh] S. Shelah, Uniqueness and characterization of prime models over sets for totally transcendental first-order theories, J. Symbolic Logic, 37 (1972), 107-113. | fulltext mini-dml | MR | Zbl

[T48] A. Tarski, A decision method for elementary algebra and geometry (prepared for publication by J. C. C. Mc Kinsey), U.S. Air Force Project RAND, R-109, the RAND Corporation, Santa Monica, California (1948), iv+60 pp. | MR | Zbl

[T54] A. Tarski, Contributions to the Theory of Models I, Indag. Math., 16 (1954), 572-581. | MR | Zbl

[Te] G. Terjanian, Un contre-example a une conjecture d'Artin, C.R. Acad. Sci. Paris Ser. A, 262 (1966), 612. | MR | Zbl

[To] C. Toffalori, Perché Hrushovski e Wilkie hanno vinto gli ultimi premi Karp, Quaderni Dipartimento di Matematica Università di Camerino 2 (1999).

[V] P. Vojta, Integral points on subvarieties of semi-abelian varieties, Inventiones Math. | Zbl

[W73] C. Wood, The model theory of differential fields of characteristic $p \neq 0$, Proc. Am. Math. Soc., 40 (1973), 577-584. | MR | Zbl

[W74] C. Wood, Prime model extensions for differential fields of characteristic $p \neq 0$, J. Symbolic Logic, 39 (1974), 469-477. | fulltext mini-dml | MR | Zbl

[Z] M. Ziegler, Model theory of modules, Ann. Pure Appl. Logic, 26 (1984), 149-213. | MR | Zbl