@article{CM_1995__96_1_85_0,
author = {Soul\'e, C.},
title = {Successive minima on arithmetic varieties},
journal = {Compositio Mathematica},
pages = {85--98},
year = {1995},
publisher = {Kluwer Academic Publishers},
volume = {96},
number = {1},
mrnumber = {1323726},
zbl = {0871.14019},
language = {en},
url = {https://www.numdam.org/item/CM_1995__96_1_85_0/}
}
Soulé, C. Successive minima on arithmetic varieties. Compositio Mathematica, Tome 96 (1995) no. 1, pp. 85-98. https://www.numdam.org/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. | Zbl | MR
2 : Canonical models of surfaces of general type, Publ. Math. IHES, 42 (1973), 171-219. | Zbl | MR | Numdam
3 : Semi-stability and heights of cycles, Inventiones Math., 118 (1994), 223-253. | Zbl | MR
4 , , : Heights of projective varieties and positive Green forms, Journal of the AMS, 7 (1994), 903-1027. | Zbl | MR
5 : Remarques sur la stabilité en arithmétique, International Mathematics Research Notices, Duke Math. J., 6 (1992), 117-127. | Zbl | MR
6 : Calculus on arithmetic surfaces, Annals of Math., 119 (1984), 387-424. | Zbl | MR
7 : Global moduli for surfaces of general type, Inventiones Math., 43 (1977), 233-282. | Zbl | MR
8 and : Hilbert stability of rank-two bundles on curves, J. Differential geometry, 19 (1984), 1-29. | Zbl | MR
9 and : Characteristic classes for algebraic vector bundles with Hermitian metrics, I, II, Annals of Math., 131 (1990), 163-203 and 205-238. | Zbl | MR
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. | Zbl | MR
11 : Reduction theory using semistability, Comment. Math. Helvetici, 59 (1984), 600-634. | Zbl | MR
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. | Zbl | MR
14 : Projective stability of ruled surfaces, Inventiones Math., 56 (1980), 269-304. | Zbl | MR
15 : Stability of projective varieties, l'Ens. Math., 23 (1977), 39-110. | Zbl | MR
16 : A vanishing theorem on arithmetic surfaces, Inventiones Math. 116 (1994), 577-599. | Zbl | MR
17 : Eine Bemerkung zur Reduktionstheorie Quadratischen Formen, Archiv. der Math., 27 (1976), 604-610. | Zbl | MR
18 : Positive line bundles on arithmetic surfaces, Annals of Math., 136 (1992), 569-587. | Zbl | MR
19 : Positive line bundles on arithmetic varieties, preprint Princeton University (1992). | MR
20 : Geometry reductivity at archimedean places, preprint Princeton University (1993).





