no. 1
Heights and reductions of semi-stable varieties
Compositio Mathematica, Tome 104 (1996) no. 1, pp. 77-105. 
@article{CM_1996__104_1_77_0,
     author = {Zhang, Shouwu},
     title = {Heights and reductions of semi-stable varieties},
     journal = {Compositio Mathematica},
     pages = {77--105},
     publisher = {Kluwer Academic Publishers},
     volume = {104},
     number = {1},
     year = {1996},
     mrnumber = {1420712},
     zbl = {0924.11055},
     language = {en},
     url = {http://www.numdam.org/item/CM_1996__104_1_77_0/}
}
TY  - JOUR
AU  - Zhang, Shouwu
TI  - Heights and reductions of semi-stable varieties
JO  - Compositio Mathematica
PY  - 1996
SP  - 77
EP  - 105
VL  - 104
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1996__104_1_77_0/
LA  - en
ID  - CM_1996__104_1_77_0
ER  - 
%0 Journal Article
%A Zhang, Shouwu
%T Heights and reductions of semi-stable varieties
%J Compositio Mathematica
%D 1996
%P 77-105
%V 104
%N 1
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1996__104_1_77_0/
%G en
%F CM_1996__104_1_77_0
Zhang, Shouwu. Heights and reductions of semi-stable varieties. Compositio Mathematica, Tome 104 (1996) no. 1, pp. 77-105. http://www.numdam.org/item/CM_1996__104_1_77_0/

[Bo] Bost, J-B.: Semi-stability and heights of cycles, Preprint, I.H.E.S., 1993. | MR

[B-G-S] Bost, J., Gillet, H. and Soulé, C.: Heights of projective varieties and positive Green forms, I. H. E. S., Preprint, 1993. | Zbl

[Bu] Burnol, J-F.: Remarques sur les la stabilité en arimétique, International Mathematics Research Notices, Duke Math. J. 6 (1992) 117-127. | MR | Zbl

[C-H] Cornalba, M. and Harris, J.: Divisors classes associated to families of stable varieties, with applications to the moduli spaces of stable curves, Ann. Scient. Ec. Norm. Sup. 21 (1988) 455-475. | Numdam | Zbl

[D] Deligne, P.: Le déterminant de la cohomologie, Contemporary Math. 67 (1987) 93-177. | MR | Zbl

[D-M] Deligne, P. and Mumford, D.: The irreducibility of the space of curves of given genus, I.H.E.S. 36 (1969) 75-109. | Numdam | MR | Zbl

[D-T] Ding, W. and Tian, G.: Kdhler-Eistein matrics and the generalized Futaki invariant, Invent. Math. 110 (1992). | MR | Zbl

[E1] Elkik, R.: Fibrés d'intersection et intégrales de classes de Chern, Ann. Sci. Ecole. Norm. Sup. 22 (1989) 195-226. | Numdam | MR | Zbl

[E2] Elkik, R.: Métriques sur les fibrés d'intersection, Duke Math. J. 61 (1990) 303-328. | MR | Zbl

[Fa] Faltings, G.: Diophantine approximation on abelian varieties, Ann. of Math. 119' (1991) 549-576. | MR | Zbl

[F-M] Fogarty, J. and Mumford, D.: Geometric invariant theory (2nd ed.) Springer-Verlag, Berlin, 1982. | MR | Zbl

[Fr1] Franke, J.: Chow categories, Algebraic Geometry, Berlin 1988, Compositio Math. 76 (1990) 101-162. | EuDML | Numdam | MR | Zbl

[Fr2] Franke, J.: Chern functors, Arithmetic algebraic geometry, Texel, Progress in Math. 89, Birkhäuser, (1989) 75-152. | MR | Zbl

[G] Gieseker, D.: Global moduli for surfaces of general type, Invent. Math. 43 (1977) 233-282. | EuDML | MR | Zbl

[H] Hömander, L.: The analysis of linear partial differential operators I, Springer-Verlag, 1983. | MR | Zbl

[K-N] Kempf, G. and Ness, L.: The length of vectors in representation spaces, Lect. N. in Math. 732 (1979) 233-243. | MR | Zbl

[M] Mumford, D.: Stability of projective varieties, L'Ens. Math. 23 (1977) 39-110. | MR | Zbl

[P] Philippon, P.: Sur des hauteur alternatives I, Math. Ann. 289 (1991) 255-283. | EuDML | MR | Zbl

[Se] Seshadri, C.S.: Geometric reductivity over an arbitrary base, Adv. Math. 26 (1977) 225-274. | MR | Zbl

[So1] Soulé, C.: Géometrie d'Arakelov et théorie des nombres trancendants, in Journées arithmetiques de Luminy, 1989, Astérique, 198-200 (1991) 355-371. | Numdam | MR | Zbl

[So2] Soulé, C.: Successive minima on arithmetic varieties, Preprint, 1993.

[T] Tian, G.: Kähler-Eistein metrics on algebraic manifolds, ICM (1990). | MR | Zbl

[V] Viehweg, E.: Weak positivity and the stability of certain Hilbert points I, II, III, Invent. Math. 96 (1989), 639-667; 101 (1990) 191-223; 101 (1990) 521-543. | EuDML | MR | Zbl

[Y1] Yau, S.T.: On the Ricci curvature of a compact Kähler manifold and complex Monge-Ampère equation, I, Comm. on Pure and Appl. Math. XXXI (1978) 339-411. | MR | Zbl

[Y2] Yau, S.T.: Nonlinear analysis in geometry, Monographic no33 de l'Enseignement Mathématique, Genéve, 1986. | MR | Zbl

[Z1] Zhang, S.: Positive line bundles on arithmetic varieties, J.A.M.S. 8 (1) (1995) 187-221. | MR | Zbl

[Z2] Zhang, S.: Geometric reductivity at archimedean places, I.M.R.N. 10 (1994) 425-433. | MR | Zbl