On the Classification of Surfaces of General Type with $p_g=q=2$

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1. BAUER, I. - CATANESE, F. - PIGNATELLI, R., Complex surfaces of general type: some recent progress. Global aspects of complex geometry. Springer, Berlin (2006), 1-58. Zbl1118.14041MR2264106DOI10.1007/3-540-35480-8_1
2. BAUER, I. - CATANESE, F. - GRUNEWALD, F., The classification of surfaces with $p_g=q=0$ isogenous to a product. Pure Appl. Math. Q., 4, no. 2, part 1 (2008), 547-586. Zbl1151.14027MR2400886DOI10.4310/PAMQ.2008.v4.n2.a10
3. BAUER, I. - PIGNATELLI, R., The classification of minimal product-quotient surfaces with $p_g=0$. Mathematics of Computation81, 280 (2012), 2389-2418. Zbl1306.14017MR2945163DOI10.1090/S0025-5718-2012-02604-4
4. BEAUVILLE, A., Surfaces Algébriques Complex. Astérisque54, Paris (1978). MR485887
5. BEAUVILLE, A., L'inegalite $p_g\ge 2q-4$ pour les surface de type general. Bull. Soc. Math. France110, (1982), 344-346. MR728990
6. BOLZA, O., On binary sextic with linear transformations into themselves. Amer. J. Math.10, (1888), 47-70. Zbl19.0488.01MR1505464DOI10.2307/2369402
7. BURNS, D. M. - WAHL, J. M., Local contributions to global deformations of surfaces. Invent. Math.26 (1974), 67-88. Zbl0288.14010MR349675DOI10.1007/BF01406846
8. CARNOVALE, G. - POLIZZI, F., The classification of surfaces with $p_g=q=1$ isogenous to a product of curves. Adv. Geom., Vol. 9, no. 2 (2009), 233-256. Zbl1190.14036MR2523842DOI10.1515/ADVGEOM.2009.015
9. CATANESE, F., Everywhere non reduced moduli spaces. Invent. Math.98 (1989), 293-310. Zbl0701.14039MR1016266DOI10.1007/BF01388855
10. CATANESE, F., Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Invent. Math.104 (1991), 263-289. Zbl0743.32025MR1098610DOI10.1007/BF01245076
11. CATANESE, F., Fibred surfaces, varieties isogenous to a product and related moduli spaces. Amer. J. Math.122, (2000), 1-44. Zbl0983.14013MR1737256
12. CATANESE, F., A superficial working guide to deformations and moduli, e-print arXiv:1106.1368, to appear in the Handbook of Moduli, a volume in honour of David Mumford, to be published by International Press. MR3184164
13. CATANESE, F. - CILIBERTO, C. - MENDES LOPES, M., On the classification of irregular surfaces of general type with nonbirational bicanonical map. Trans. Amer. Math. Soc.350, no. 1 (1998), 275-308. Zbl0889.14019MR1422597DOI10.1090/S0002-9947-98-01948-5
14. CHEN, J. - HACON, C., A Surface of general type with $p_g=q=2$ and $K^2=5$. Pacific. J. Math.223 no. 2 (2006), 219-228. Zbl1112.14047MR2221025DOI10.2140/pjm.2006.223.219
15. CILIBERTO, C. - MENDES LOPES, M., On surfaces with $p_g=q=2$ and non-birational bicanonical map. Adv. Geom.2, n. 3 (2002), 281-300. Zbl1027.14018MR1924760DOI10.1515/advg.2002.014
16. CILIBERTO, C. - MENDES LOPES, M. - PARDINI, R., The classification of minimal irregular surfaces of general type with $K^2=2p_g$, preprint arXiv:1307.6228. MR3272911DOI10.14231/AG-2014-021
17. GIESEKER, D., Global moduli for surfaces of general type. Invent. Math43, no. 3 (1977), 233-282. Zbl0389.14006MR498596DOI10.1007/BF01390081
18. HACON, C. - PARDINI, R., Surfaces with $p_g=q=3$. Trans. Amer. Math. Soc.354 (2002), 2631-2638. Zbl1009.14004MR1895196DOI10.1090/S0002-9947-02-02891-X
19. HAHN, D. W. - MIRANDA, R., Quadruple covers of algebraic varieties. J. Algebraic Geom.8 (1999). Zbl0982.14008MR1658196
20. MANETTI, M., Surfaces of Albanese General type and the Severi conjecture. Math. Nachr., Vol. 261/262 (2003), 105-122. Zbl1044.14017MR2020390DOI10.1002/mana.200310115
21. MIRANDA, R., Triple covers in algebraic geometry. Amer. J. of Math.107 (1985), 1123-1158. Zbl0611.14011MR805807DOI10.2307/2374349
22. MISTRETTA, E. - POLIZZI, F., Standard isotrivial fibrations with $p_g=q=1$ II. AG/0805.1424. 
23. PIROLA, G. P., Surfaces with $p_g=q=3$. Manuscripta Math.108, no. 2 (2002), 163-170. Zbl0997.14009MR1918584DOI10.1007/s002290200253
24. PENEGINI, M., The classification of isotrivially fibred surfaces with $p_g=q=2$. Collect. Math.62, No. 3 (2011), 239-274. Zbl1228.14035MR2825713DOI10.1007/s13348-011-0043-y
25. PENEGINI, M. - POLIZZI, F., On surfaces with $p_g=q=2$, $K^2=5$ and Albanese map of degree 3. e-print arXiv:1011.4388 (2010), to appear in Osaka J. Math. MR3128997
26. PENEGINI, M. - POLIZZI, F., On surfaces with $p_g=q=2$, $K^2=6$ and Albanese map of degree 2. e-print arXiv:1105.4983 (2011), to appear in Canad. J. Math. MR3004463DOI10.4153/CJM-2012-007-0
27. PENEGINI, M. - POLIZZI, F., A new family of surfaces with $p_g=q=2$ and $K^2=6$ whose Albanese map has degree 4. e-print arXiv:1207.3526. Zbl1325.14056MR3291798DOI10.1112/jlms/jdu048
28. ZUCCONI, F., Surfaces with $p_g=q=2$ and an irrational pencil. Canad. J. Math. Vol.55 (2003), 649-672. Zbl1053.14042MR1980618DOI10.4153/CJM-2003-027-8