@phdthesis{BJHTUP11_2001__0595__A1_0,
author = {Autissier, Pascal},
title = {Points entiers et th\'eor\`emes de {Bertini} arithm\'etiques},
series = {Th\`eses d'Orsay},
year = {2001},
publisher = {Universit\'e Paris XI UFR scientifique d'Orsay},
number = {595},
language = {fr},
url = {https://www.numdam.org/item/BJHTUP11_2001__0595__A1_0/}
}
Autissier, Pascal. Points entiers et théorèmes de Bertini arithmétiques. Thèses d'Orsay, no. 595 (2001), 72 p. https://www.numdam.org/item/BJHTUP11_2001__0595__A1_0/
[1] : Hauteurs et discrétude. Astérisque 245 (1997), p. 141-166. | Zbl | Numdam
[2] : Intersection theory of divisors on an arithmetic surface. Math. USSR Izvestija 8 (1974), p. 1167-1180. | Zbl | DOI
[3] : Points entiers sur les surfaces arithmétiques. Journal für die reine und angew. Math. 531 (2001), p. 201-235. | MR | Zbl
[4] : Points entiers et théorèmes de Bertini arithmétiques. Annales de l'institut Fourier, à paraître. | MR | Zbl | Numdam
[5] : Advanced mathematical analysis. Graduate Texts in Math. 12, Springer-Verlag (1973). | Zbl
[6] , , : Le spectre d'une variété riemannienne. Lecture Notes in Math. 194, Springer-Verlag (1971). | Zbl
[7] : Limit distribution of small points on algebraic tori. Duke Math. Journal 89 (1997), p. 465-476. | MR | Zbl | DOI
[8] : Potential theory and Lefschetz theorems for arithmetic surfaces. Annales Scientifiques de l'ENS 32 (1999), p. 241-312. | MR | Zbl | Numdam
[9] , , : Heights of projective varieties and positive Green forms. Journal of the AMS 7 (1994), p. 903-1027. | MR | Zbl
[10] , : Well-adjusted models for curves over Dedekind rings. Progress in Math. 89 (1991), p. 3-24. | MR | Zbl
[11] , : The capacity pairing. Journal für die reine und angew. Math. 434 (1993), p. 1-44. | MR | Zbl
[12] , : Arithmetic Geometry. Springer-Verlag (1986). | MR | Zbl | DOI
[13] , : Random walks and electric networks. Carus Math. Monographs 22 (1984). | MR | Zbl
[14] , : The geometry of schemes. Graduate Texts in Math. 197 (2000). | MR | Zbl
[15] : Reducibility mod p of hypersurfaces in projective spaces - an application of arithmetic Bézout. Journal of Number Theory 84 (2000), p. 305-316. | MR | Zbl | DOI
[16] : On the degree of integral points of a projective space minus a horizontal hypersurface. Journal für die reine und angew. Math. 532 (2001), p. 151-177. | MR | Zbl
[17] : Calculus on arithmetic surfaces. Annals of Math. 119 (1984), p. 387-424. | MR | Zbl | DOI
[18] , : On algebraic equations with integral coefficients whose roots belong to a given point set. Math. Zeitschrift 63 (1955), p. 158-172. | MR | Zbl | DOI
[19] : Intersection theory. Springer Ergebnisse 2 (1984). | MR | Zbl
[20] , : An arithmetic Riemann-Roch theorem. Inventiones Math. 110 (1992), p. 473-543. | MR | Zbl | DOI
[21] , : Eléments de géométrie algébrique. IV. Etude locale des schémas et des morphismes de schémas. III. Publications Math. de l'IHES 28 (1966). | MR | Zbl | Numdam
[22] : Théorèmes de Bertini et applications. Progress in Math. 42 (1983). | MR | Zbl
[23] : Fundamentals of Diophantine Geometry. Springer-Verlag (1983). | MR | Zbl | DOI
[24] : Introduction to Arakelov theory. Springer-Verlag (1988). | MR | Zbl | DOI
[25] : Curves over discrete valuation rings. American Journal of Math. 90 (1968), p. 380-405. | MR | Zbl | DOI
[26] : Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables. Mémoires de la SMF 80 (2000). | MR | Zbl | Numdam
[27] : Effective bounds for integral points on arithmetic surfaces. Journal für die reine und angew. Math. 496 (1998), p. 55-72. | MR | Zbl | DOI
[28] : Métriques permises. Astérisque 127 (1985), p. 29-87. | MR | Zbl | Numdam
[29] : Points entiers des variétés arithmétiques. Progress in Math. 71 (1987), p. 147-154. | MR | Zbl
[30] : Groupes de Picard et problèmes de Skolem I. Annales Scientifiques de l'ENS 22 (1989), p. 161-179. | MR | Zbl | Numdam
[31] : Arithmetic Bogomolov-Gieseker's inequality. American Journal of Math. 117 (1995), p. 1325-1347. | MR | Zbl | DOI
[32] : Sur des hauteurs alternatives I. Math. Annalen 289 (1991), p. 255-283. | MR | Zbl | DOI
[33] : Bertini theorems over finite fields. Preprint (2001). | MR | Zbl
[34] , : Maximum principles in differential equations. Prentice-Hall (1967). | MR | Zbl
[35] : Potential theory in the complex plane. Cambridge University Press (1995). | MR | Zbl | DOI
[36] : Arithmetic over the ring of all algebraic integers. Journal für die reine und angew. Math. 368 (1986), p. 127-133. | MR | Zbl
[37] : Capacity theory on algebraic curves. Lecture Notes in Math. 1378, Springer- Verlag (1989). | MR | Zbl
[38] : On Bilu's equidistribution theorem. Contemporary Math. 237 (1999), p. 159-166. | MR | Zbl | DOI
[39] : Séminaire sur les pinceaux arithmétiques. Astérisque 127 (1985). | MR | Numdam
[40] , , : Equirépartition des petits points. Inventiones Math. 127 (1997), p. 337-347. | MR | Zbl | DOI
[41] : Hauteurs et amplitude arithmétique. Thèse de l'Université Paris XI Orsay (1993).
[42] : Points entiers, points de torsion et amplitude arithmétique. American Journal of Math. 117 (1995), p. 1039-1055. | MR | Zbl | DOI
[43] : Positive line bundle on arithmetic surfaces. Annals of Math. 136 (1992), p. 569-587. | MR | Zbl | DOI
[44] : Positive line bundles on arithmetic varieties. Journal of the AMS 8 (1995), p. 187-221. | MR | Zbl





