Polynomial bounds for abelian groups of automorphisms

 Access to full text

 Full (PDF)

1. [An50] Andreotti, A.: Sopra le superficie che posseggono trasformazioni birazionali in se. Rend. Mat. e Appl.9 (1950) 255-279. Zbl0041.08502MR49601
2. [BP83] Barth, W., Peters, C.: Automorphisms of Enriques surfaces. Invent. Math.73 (1983) 383-411. Zbl0518.14023MR718937
3. [Bo73] Bombieri, E.: Canonical models of surfaces of general type. Publ. Math. Inst. Hautes Etud. Sci.42 (1973) 171-219. Zbl0259.14005MR318163
4. [CS92] Catanese, F., Schneider, M.: Bounds for stable bundles and degrees of Weierstraß schemes. Math. Ann.293 (1992) 579-594. Zbl0782.14016MR1176022
5. [Co91] Corti, A.: Polynomial bounds for the number of automorphisms of a surface of general type. Ann. Sci. Ecole Norm. Sup.24 (1991) 113-137. Zbl0758.14026MR1088272
6. [De93] Demailly, J.P.: A numerical criterion for very ample line bundles. J. Differential Geometry37 (1993) 323-374. Zbl0783.32013MR1205448
7. [Fu78] Fujita, T.: On Kähler fibre spaces over curves. J. Math. Soc. Japan30 (1978) 779-794. Zbl0393.14006MR513085
8. [HS82] Howard, A., Sommese, A.: On the orders of the automorphism groups of certain projective manifolds. In Manifolds and Lie Groups, Progr. in Math.14, Birkhäuser1982, 145-158. Zbl0483.32016MR642855
9. [HS90] Huckleberry, A., Sauer, M.: On the order of the automorphism group of a surface of general type. Math. Z.205 (1990) 321-329. Zbl0718.32022MR1076138
10. [Hu93] Hurwitz, A.: Über algebraische Gebilde mit eindeutigen Transformationen in sich. Math. Ann.41 (1893) 403-442. MR1510753JFM24.0380.02
11. [Ji95] Jin Xing Cai: Abelian automorphism groups of threefolds of general type. Preprint 1995. MR1358685
12. [Ka82] Kawamata, Y.: Kodaira dimension of algebraic fibre spaces over curves. Invent. Math.66 (1982) 57-71. Zbl0461.14004MR652646
13. [Ko93] Kollár, J.: Effective base point freeness. Math. Ann.296 (1993) 595-605. Zbl0818.14002MR1233485
14. [Kov] Kovacs, S.: Smooth families over rational and elliptic curves. Preprint. MR1374712
15. [Ma63] Matsumura, H.: On algebraic groups of birational transformations. Atti Accad. Naz. dei Lincei34 (1963) 151-155. Zbl0134.16601MR159825
16. [Mi] Migliorini, L.: 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. Zbl0834.14021MR1311355
17. [Na87] Nakajima, S.: On abelian automorphism groups of algebraic curves. J. London Math. Soc.36 (1987) 23-32. Zbl0589.14033MR897671
18. [PS97] Picard, E., Simart, G: Théorie des fonctions algébriques de deux variables indépendantes. Paris, Gauthier-Villars1897. JFM28.0327.01
19. [Ro56] Rosenlicht, M.: Some basic theorems on algebraic groups. Amer. J. Math.78 (1956) 401-433. Zbl0073.37601MR82183
20. [Sz95] Szabó, E.: Bounding automorphism groups. Preprint 1995. Zbl0845.14009MR1380456
21. [Vi82] Viehweg, E.: Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs. J. Reine Angew. Math.330 (1982) 132-142. Zbl0466.14009MR641815
22. [Wi81] Wilson, P.: On complex algebraic varieties of general type. Symposia Math.24 (1981) 65-73. Zbl0462.14010MR619240
23. [Wi87] Wilson, P.: Towards birational classification of algebraic varieties. Bull. London Math. Soc.19 (1987) 1-48. Zbl0612.14033MR865038
24. [Xi90] Xiao Gang: On abelian automorphism groups of a surface of general type. Invent. Math.102 (1990) 619-631. Zbl0739.14024MR1074488
25. [Xi93] Xiao Gang: Bound of automorphisms of surfaces of general type I. Ann. of Math.139 (1994) 51-77. Zbl0811.14011MR1259364
26. [Xi] Xiao Gang: Bound of automorphisms of surfaces of general type II. To appear in J. Alg. Geom. Zbl0841.14011MR1339845
27. [Xi95] Xiao Gang: Linear bound for abelian automorphisms of varieties of general type. Preprint 1995. Zbl0870.14006MR1401701