@article{CM_1995__96_1_85_0,
author = {Soul\'e, C.},
title = {Successive minima on arithmetic varieties},
journal = {Compositio Mathematica},
volume = {99},
year = {1995},
pages = {85-98},
mrnumber = {1323726},
zbl = {0871.14019},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1995__96_1_85_0}
}
Soulé, C. Successive minima on arithmetic varieties. Compositio Mathematica, Tome 99 (1995) pp. 85-98. http://gdmltest.u-ga.fr/item/CM_1995__96_1_85_0/
1 : New bounds in some transference theorems in the geometry of numbers, Math. Annalen, 296 (1993), 625-635. | MR 1233487 | Zbl 0786.11035
2 : Canonical models of surfaces of general type, Publ. Math. IHES, 42 (1973), 171-219. | Numdam | MR 318163 | Zbl 0259.14005
3 : Semi-stability and heights of cycles, Inventiones Math., 118 (1994), 223-253. | MR 1292112 | Zbl 0873.14028
4 , , : Heights of projective varieties and positive Green forms, Journal of the AMS, 7 (1994), 903-1027. | MR 1260106 | Zbl 0973.14013
5 : Remarques sur la stabilité en arithmétique, International Mathematics Research Notices, Duke Math. J., 6 (1992), 117-127. | MR 1167116 | Zbl 0764.14006
6 : Calculus on arithmetic surfaces, Annals of Math., 119 (1984), 387-424. | MR 740897 | Zbl 0559.14005
7 : Global moduli for surfaces of general type, Inventiones Math., 43 (1977), 233-282. | MR 498596 | Zbl 0389.14006
8 and : Hilbert stability of rank-two bundles on curves, J. Differential geometry, 19 (1984), 1-29. | MR 739780 | Zbl 0573.14005
9 and : Characteristic classes for algebraic vector bundles with Hermitian metrics, I, II, Annals of Math., 131 (1990), 163-203 and 205-238. | MR 1038362 | Zbl 0715.14006
10 and : On the number of lattice points in convex symmetric bodies and their duals, Israel Journal of Math., 74, no 2-3 (1991), 347-357. | MR 1135244 | Zbl 0752.52008
11 : Reduction theory using semistability, Comment. Math. Helvetici, 59 (1984), 600-634. | MR 780079 | Zbl 0564.20027
12 : Bogomolov inequality on arithmetic surfaces, talk at the Oberwolfach conference on "Arithmetical Algebraic Geometry", G. Harder and N. Katz org. (1988).
13 : Inequality of Bogomolov-Gieseker's type on arithmetic surfaces, Duke Math. Journal, 74 (1994), 713-761. | MR 1277952 | Zbl 0854.14012
14 : Projective stability of ruled surfaces, Inventiones Math., 56 (1980), 269-304. | MR 561975 | Zbl 0423.14005
15 : Stability of projective varieties, l'Ens. Math., 23 (1977), 39-110. | MR 450272 | Zbl 0363.14003
16 : A vanishing theorem on arithmetic surfaces, Inventiones Math. 116 (1994), 577-599. | MR 1253205 | Zbl 0834.14013
17 : Eine Bemerkung zur Reduktionstheorie Quadratischen Formen, Archiv. der Math., 27 (1976), 604-610. | MR 424707 | Zbl 0338.10024
18 : Positive line bundles on arithmetic surfaces, Annals of Math., 136 (1992), 569-587. | MR 1189866 | Zbl 0788.14017
19 : Positive line bundles on arithmetic varieties, preprint Princeton University (1992). | MR 1254133
20 : Geometry reductivity at archimedean places, preprint Princeton University (1993).