Capacity theory on algebraic curves and canonical heights
Groupe de travail d'analyse ultramétrique, Volume 12 (1984-1985) no. 2, Talk no. 22, 17 p.
@article{GAU_1984-1985__12_2_A3_0,
     author = {Rumely, Robert},
     title = {Capacity theory on algebraic curves and canonical heights},
     journal = {Groupe de travail d'analyse ultram\'etrique},
     note = {talk:22},
     pages = {1--17},
     publisher = {Secr\'etariat math\'ematique},
     volume = {12},
     number = {2},
     year = {1984-1985},
     mrnumber = {848999},
     zbl = {0623.14011},
     language = {en},
     url = {http://www.numdam.org/item/GAU_1984-1985__12_2_A3_0/}
}
TY  - JOUR
AU  - Rumely, Robert
TI  - Capacity theory on algebraic curves and canonical heights
JO  - Groupe de travail d'analyse ultramétrique
N1  - talk:22
PY  - 1984-1985
SP  - 1
EP  - 17
VL  - 12
IS  - 2
PB  - Secrétariat mathématique
UR  - http://www.numdam.org/item/GAU_1984-1985__12_2_A3_0/
LA  - en
ID  - GAU_1984-1985__12_2_A3_0
ER  - 
%0 Journal Article
%A Rumely, Robert
%T Capacity theory on algebraic curves and canonical heights
%J Groupe de travail d'analyse ultramétrique
%Z talk:22
%D 1984-1985
%P 1-17
%V 12
%N 2
%I Secrétariat mathématique
%U http://www.numdam.org/item/GAU_1984-1985__12_2_A3_0/
%G en
%F GAU_1984-1985__12_2_A3_0
Rumely, Robert. Capacity theory on algebraic curves and canonical heights. Groupe de travail d'analyse ultramétrique, Volume 12 (1984-1985) no. 2, Talk no. 22, 17 p. http://www.numdam.org/item/GAU_1984-1985__12_2_A3_0/

[Ar] Arakelov ( S. ) . - Intersection theory for divisors on an arithmetic surface [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 38, 1974, p. 1179- 1192. | MR | Zbl

[C] Cantor (D.). - On an extension of the definition of transfinite dianeter and some applications, J. für reine und angew. Math., t. 316, 1980, p. 160- 207. | MR | Zbl

[F-S] Fekete (M.) and Szegö (G. ). - On algebraic equations with integral coefficients whose roots belong to a given point set, Math. Z., t. 63, 1955/56, p. 158-172. | MR | Zbl

[Gr] Gross (B.). - Local heights on curves (to appear). | MR | Zbl

[Gr-Z] Gross (B.) and Zagier (D. ). - The Green's function for curves uniformized by the upper half plane (to appear).

[Kan] Kani (E. ). - Weil heights, Néron pairings and v-metrics on curves (to appear). | MR | Zbl

[L] Lang (S.). - Elliptic curves, diophantine analysis. - Berlin, Springer-Verlag, 1978 (Grundlehren der mathematischen Wissenschaften, 231). | MR | Zbl

[M] Manin (Yu.). - The refined structure of the Néron-Tate height [in Russian] Mat. Sbornik, t. 83, 1970, p. 331-348 ; [in English] Math. USSR-Sbornik, t. 12, 1970, p. 325-342. | MR | Zbl

[N] Néron (A.). - Quasi-fonctions et hauteurs sur les variétés abéliennes, Annals of Math., Series 2, t. 82, 1965, p. 249-331. | MR | Zbl

[R] Rumely (R.). - Capacity theory on algebraic curves (nanuscript).

[Ts] Tsuji (M.). - Potential theory in modern function theory. - Tokyo, New York, Maruzen Comp., 1959 ; reprinted 2nd edition : New York, Chelsea, 1975. | MR | Zbl