Automorphisms of order three on numerical Godeaux surfaces

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1. [1] W. Barth, C. Peters and A. Van de Ven, “Compact Complex Surfaces”, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3 Folge, Band 4, Springer-Verlag, Berlin, 1984. Zbl0718.14023MR749574
2. [2] I. Bauer, F. Catanese and R. Pignatelli, Complex surfaces of general type: some recent progress, In: “Global aspects of complex geometry”, F. Catanese et al. (eds.), Springer Verlag, 2006, 1–58. Zbl1118.14041MR2264106
3. [3] A. Calabri, “Rivestimenti del Piano. Sulla Razionalità dei Piani Doppi e Tripli Ciclici”, Edizioni Plus - Pisa University Press, 2006. 
4. [4] A. Calabri, C. Ciliberto and M. Mendes Lopes, Even sets of four nodes on rational surfaces, Math. Res. Lett.11 (2004), 799–808. Zbl1070.14039MR2099361
5. [5] A. Calabri, C. Ciliberto and M. Mendes Lopes, Numerical Godeaux surfaces with an involution, Trans. Amer. Math. Soc.359 (2007), 1605–1632. Zbl1124.14036MR2272143
6. [6] F. Catanese and R. Pignatelli, Fibrations of low genus, I, Ann. Sci. Ècole Norm. Sup.39 (2006), 1011–1049. Zbl1125.14023MR2316980
7. [7] F. Enriques, “Le superficie Algebriche”, Zanichelli, Bologna, 1949. Zbl0036.37102MR31770
8. [8] A. Franchetta, Sulle curve riducibili appartenenti ad una superficie algebrica, In: “Alfredo Franchetta, Opere Scelte”, C. Ciliberto and E. Sernesi (eds.), Giannini, Napoli, 2006, 139–161. Zbl0039.16304MR35484
9. [9] L. Godeaux, Sur une surface algébrique de genre zero et de bigenre deux, Atti Accad. Naz. Lincei14 (1931), 479–481. Zbl0004.01703
10. [10] J. Keum and Y. Lee, Fixed locus of an involution acting on a Godeaux surface, Math. Proc. Cambridge Philos. Soc.129 (2000), 205–216. Zbl1024.14019MR1765910
11. [11] R. Miranda, Triple covers in algebraic geometry, Amer. J. Math.107 (1985), 1123–1158. Zbl0611.14011MR805807
12. [12] Y. Miyaoka, Tricanonical maps of Godeaux surfaces, Invent. Math.34 (1976), 99–111. Zbl0337.14010MR409481
13. [14] E. Palmieri, “Numerical Godeaux Surfaces with an Automorphism of Order Three”, Ph.D. thesis, Università degli studi Roma Tre, 2007. 
14. [13] R. Pardini, Abelian covers of algebraic varieties, J. Reine Angew. Math.417 (1991), 191–213. Zbl0721.14009MR1103912
15. [15] M. Reid, Surfaces with $p_g=0,K^2=1$, J. Fac. Sci. Univ. Tokio, Sect. IA Math., 25 (1978), 75–92. Zbl0399.14025MR494596
16. [16] E. Stagnaro, On Campedelli branch loci, Ann. Univ. Ferrara, Sez. VII, 43 (1997), 1–26. Zbl0927.14017MR1686746
17. [17] S. L. Tan, Galois triple covers of surfaces, Sci. China, Ser. A, 34 (1991), 935–942. Zbl0753.14008MR1150664
18. [18] G. Xiao, Bound of automorphisms of surfaces of general type. I, Ann. of Math. (2) 139 (1994), 51–77. Zbl0811.14011MR1259364
19. [19] G. Xiao, Bound of automorphisms of surfaces of general type. II, J. Algebraic Geom. 4 (1995), 701–793. Zbl0841.14011MR1339845
20. [20] G. Xiao, On Abelian automorphism group of a surface of general type, Invent. Math.102 (1990), 619–631. Zbl0739.14024MR1074488