@article{CM_1995__97_1-2_1_0, author = {Catanese, Fabrizio and Schneider, Michael}, title = {Polynomial bounds for abelian groups of automorphisms}, journal = {Compositio Mathematica}, volume = {99}, year = {1995}, pages = {1-15}, mrnumber = {1355114}, zbl = {0858.14008}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1995__97_1-2_1_0} }
Catanese, Fabrizio; Schneider, Michael. Polynomial bounds for abelian groups of automorphisms. Compositio Mathematica, Tome 99 (1995) pp. 1-15. http://gdmltest.u-ga.fr/item/CM_1995__97_1-2_1_0/
[An50] Sopra le superficie che posseggono trasformazioni birazionali in se. Rend. Mat. e Appl. 9 (1950) 255-279. | MR 49601 | Zbl 0041.08502
:[BP83] Automorphisms of Enriques surfaces. Invent. Math. 73 (1983) 383-411. | MR 718937 | Zbl 0518.14023
, :[Bo73] Canonical models of surfaces of general type. Publ. Math. Inst. Hautes Etud. Sci. 42 (1973) 171-219. | Numdam | MR 318163 | Zbl 0259.14005
:[CS92] Bounds for stable bundles and degrees of Weierstraß schemes. Math. Ann. 293 (1992) 579-594. | MR 1176022 | Zbl 0782.14016
, :[Co91] Polynomial bounds for the number of automorphisms of a surface of general type. Ann. Sci. Ecole Norm. Sup. 24 (1991) 113-137. | Numdam | MR 1088272 | Zbl 0758.14026
:[De93] A numerical criterion for very ample line bundles. J. Differential Geometry 37 (1993) 323-374. | MR 1205448 | Zbl 0783.32013
:[Fu78] On Kähler fibre spaces over curves. J. Math. Soc. Japan 30 (1978) 779-794. | MR 513085 | Zbl 0393.14006
:[HS82] On the orders of the automorphism groups of certain projective manifolds. In Manifolds and Lie Groups, Progr. in Math. 14, Birkhäuser 1982, 145-158. | MR 642855 | Zbl 0483.32016
, :[HS90] On the order of the automorphism group of a surface of general type. Math. Z. 205 (1990) 321-329. | MR 1076138 | Zbl 0718.32022
, :[Hu93] 41 (1893) 403-442. | JFM 24.0380.02 | MR 1510753
: Über algebraische Gebilde mit eindeutigen Transformationen in sich. Math. Ann.[Ji95] Abelian automorphism groups of threefolds of general type. Preprint 1995. | MR 1358685
:[Ka82] Kodaira dimension of algebraic fibre spaces over curves. Invent. Math. 66 (1982) 57-71. | MR 652646 | Zbl 0461.14004
:[Ko93] Effective base point freeness. Math. Ann. 296 (1993) 595-605. | MR 1233485 | Zbl 0818.14002
:[Kov] Smooth families over rational and elliptic curves. Preprint. | MR 1374712
:[Ma63] On algebraic groups of birational transformations. Atti Accad. Naz. dei Lincei 34 (1963) 151-155. | MR 159825 | Zbl 0134.16601
:[Mi] A smooth family of minimal surfaces of general type over a curve of genus at most one is trivial. To appear in J. Alg. Geom. | MR 1311355 | Zbl 0834.14021
:[Na87] On abelian automorphism groups of algebraic curves. J. London Math. Soc. 36 (1987) 23-32. | MR 897671 | Zbl 0589.14033
:[PS97] Simart, G: Théorie des fonctions algébriques de deux variables indépendantes. Paris, Gauthier-Villars 1897. | JFM 28.0327.01
,[Ro56] Some basic theorems on algebraic groups. Amer. J. Math. 78 (1956) 401-433. | MR 82183 | Zbl 0073.37601
:[Sz95] Bounding automorphism groups. Preprint 1995. | MR 1380456 | Zbl 0845.14009
:[Vi82] Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs. J. Reine Angew. Math. 330 (1982) 132-142. | MR 641815 | Zbl 0466.14009
:[Wi81] On complex algebraic varieties of general type. Symposia Math. 24 (1981) 65-73. | MR 619240 | Zbl 0462.14010
:[Wi87] Towards birational classification of algebraic varieties. Bull. London Math. Soc. 19 (1987) 1-48. | MR 865038 | Zbl 0612.14033
:[Xi90] 102 (1990) 619-631. | MR 1074488 | Zbl 0739.14024
: On abelian automorphism groups of a surface of general type. Invent. Math.[Xi93] 139 (1994) 51-77. | MR 1259364 | Zbl 0811.14011
: Bound of automorphisms of surfaces of general type I. Ann. of Math.[Xi] Bound of automorphisms of surfaces of general type II. To appear in J. Alg. Geom. | MR 1339845 | Zbl 0841.14011
:[Xi95] Linear bound for abelian automorphisms of varieties of general type. Preprint 1995. | MR 1401701 | Zbl 0870.14006
: