Volume 12, issue 4 (2008)

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Quotients of fake projective planes

JongHae Keum

Geometry & Topology 12 (2008) 2497–2515
Bibliography
1 M F Atiyah, I M Singer, The index of elliptic operators. III, Ann. of Math. $(2)$ 87 (1968) 546 MR0236952
2 W P Barth, K Hulek, C A M Peters, A Van de Ven, Compact complex surfaces, Ergebnisse 3rd Series: Modern Surveys in Mathematics 4, Springer (2004) MR2030225
3 I Dolgachev, Algebraic surfaces with $q=p_g=0$, from: "CIME Algebraic surfaces", Liguori (1981) 97
4 D Hwang, J Keum, The maximum number of singular points on rational homology projective planes arXiv:math.AG/0801.3021
5 M N Ishida, An elliptic surface covered by Mumford's fake projective plane, Tohoku Math. J. $(2)$ 40 (1988) 367 MR957050
6 M N Ishida, F Kato, The strong rigidity theorem for non-Archimedean uniformization, Tohoku Math. J. $(2)$ 50 (1998) 537 MR1653430
7 J Keum, A fake projective plane constructed from an elliptic surface with multiplicities $(2,4)$, Preprint
8 J Keum, A fake projective plane with an order 7 automorphism, Topology 45 (2006) 919 MR2239523
9 J Kollár, Is there a topological Bogomolov–Miyaoka–Yau inequality?, Pure Appl. Math. Q. 4 (2008) 203 MR2400877
10 A Kurihara, Construction of $p$–adic unit balls and the Hirzebruch proportionality, Amer. J. Math. 102 (1980) 565 MR573103
11 Y Lee, J Park, A simply connected surface of general type with $p_g=0$ and $K^2=2$, Invent. Math. 170 (2007) 483 MR2357500
12 D Mumford, An algebraic surface with $K$ ample, $(K^{2})=9$, $p_{g}=q=0$, Amer. J. Math. 101 (1979) 233 MR527834
13 G A Mustafin, Non-Archimedean uniformization, Uspehi Mat. Nauk 33 (1978) 225 MR0476763
14 V V Nikulin, Integer symmetric bilinear forms and some of their geometric applications, Izv. Akad. Nauk SSSR Ser. Mat. 43 (1979) 111, 238 MR525944
15 H Park, J Park, D Shin, A simply connected surface of general type with $p_{g}=0$ and $K^{2}=3$ arXiv:math.AG/07080273
16 G Prasad, S K Yeung, Fake projective planes, Invent. Math. 168 (2007) 321 MR2289867
17 D Q Zhang, Automorphisms of finite order on rational surfaces, J. Algebra 238 (2001) 560 MR1823774