Polynomial bounds for the number of automorphisms of a surface of general type
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 1, pp. 113-137. 
@article{ASENS_1991_4_24_1_113_0,
     author = {Corti, Alessio},
     title = {Polynomial bounds for the number of automorphisms of a surface of general type},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {113--137},
     publisher = {Elsevier},
     volume = {Ser. 4, 24},
     number = {1},
     year = {1991},
     doi = {10.24033/asens.1621},
     mrnumber = {1088272},
     zbl = {0758.14026},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1621/}
}
TY  - JOUR
AU  - Corti, Alessio
TI  - Polynomial bounds for the number of automorphisms of a surface of general type
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1991
SP  - 113
EP  - 137
VL  - 24
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1621/
DO  - 10.24033/asens.1621
LA  - en
ID  - ASENS_1991_4_24_1_113_0
ER  - 
%0 Journal Article
%A Corti, Alessio
%T Polynomial bounds for the number of automorphisms of a surface of general type
%J Annales scientifiques de l'École Normale Supérieure
%D 1991
%P 113-137
%V 24
%N 1
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1621/
%R 10.24033/asens.1621
%G en
%F ASENS_1991_4_24_1_113_0
Corti, Alessio. Polynomial bounds for the number of automorphisms of a surface of general type. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 1, pp. 113-137. doi : 10.24033/asens.1621. http://archive.numdam.org/articles/10.24033/asens.1621/

[1] A. Andreotti, Sopra le Superficie Algebriche che Posseggono Trasformazioni Birazionali in se [Rend. Mat. (Univ. Roma), Vol. 9, 1950, pp. 255-279]. | MR | Zbl

[2] W. Barth, C. Peters and A. Van De Ven, Compact Complex Surfaces, Springer-Verlag, 1984. | MR | Zbl

[3] A. Beauville, L'application Canonique pour les Surfaces de Type Général (Inv. Math., Vol. 55, 1979, pp. 121-140). | EuDML | MR | Zbl

[4] P. Du Val, Homographies, Quaternions and Rotations, Clarendon Press, Oxford, 1964. | MR | Zbl

[5] W. Fulton, Intersection Theory, Springer-Verlag, 1984. | MR | Zbl

[6] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag, 1978³. | Zbl

[7] C. S. Horstmann, Ph. D. Thesis (to appear).

[8] A. Howard and A. J. Sommese, On the Order of the Automorphism Group of Certain Projective Manifolds, Manifolds and Lie Groups (Papers in Honor of Y. Matsushima), Birkhäuser, 1981, pp. 145-158. | MR | Zbl

[9] S. Itaka, Weierstraβ Forms Associated with Linear Systems (Adv. Math., Vol. 33, 1976, pp. 14-30). | Zbl

[10] S. Kleiman, Geometry on Grassmannians and Applications to Splitting Bundles and Smoothing Cycles (Publ. Math. I.H.E.S., Vol. 36, 1969, pp. 281-298). | Numdam | MR | Zbl

[11] S. Kobayashi, Differential Geometry of Complex Vector Bundles (Publ. Math. Soc., Vol. 15, 1987). | MR | Zbl

[12] M. Maruyama, The Theorem of Grauert-Mülich-Sprindler (Math. Ann., Vol. 255, 1981, pp. 317-333). | MR | Zbl

[13] H. Matsumura, On Algebraic Groups of Birational Transformations (Rend. Acc. Linc., ser. 8, Vol. 34, 1963, pp. 151-155). | MR | Zbl

[14] Y. Miyaoka, On the Chern Numbers of Surfaces of General Type (Inv. Math., Vol. 42, 1977, pp. 225-237). | MR | Zbl

[15] R. Ogawa, On the points of Weierstraβ in Dimension Greater than One (Trans. Am. Math. Soc., Vol. 184, 1973, pp. 401-417). | MR | Zbl

[16] G. Xiao, L'irrégularité des Surfaces de Type Général dont le Système Canonique est Composé d'un Pinceau (Comp. Math., Vol. 56, 1985, pp. 251-257). | Numdam | MR | Zbl

[17] S. T. Yau, On the Ricci Curvature of a Compact Kähler Manifold and the Complex Monge-Ampère Equation, I (Comm. Pure Appl. Math., Vol. 31, 1978, pp. 339-414). | MR | Zbl

Cité par Sources :