Penegini: On the Classification of Surfaces of General Type with $p

Penegini, Matteo:
On the Classification of Surfaces of General Type with $p_g = q = 2$
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 549-563, (English)
pdf (366 Kb), djvu (166 Kb). | MR 3202839

Referenze Bibliografiche

[BCP06] I. BAUER - F. CATANESE - R. PIGNATELLI, Complex surfaces of general type: some recent progress. Global aspects of complex geometry. Springer, Berlin (2006), 1-58. | fulltext (doi) | MR 2264106 | Zbl 1118.14041

[BCG08] I. BAUER - F. CATANESE - F. GRUNEWALD, 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. | fulltext (doi) | MR 2400886 | Zbl 1151.14027

[BP11] I. BAUER - R. PIGNATELLI, The classification of minimal product-quotient surfaces with $p_g = 0$. Mathematics of Computation 81, 280 (2012), 2389-2418. | fulltext (doi) | MR 2945163 | Zbl 1306.14017

[B78] A. BEAUVILLE, Surfaces Algébriques Complex. Astérisque 54, Paris (1978). | MR 485887

[B82] A. BEAUVILLE, L'inegalite $p_g \geq 2q - 4$ pour les surface de type general. Bull. Soc. Math. France 110, (1982), 344-346. | MR 728990

[Bol88] O. BOLZA, On binary sextic with linear transformations into themselves. Amer. J. Math. 10, (1888), 47-70. | fulltext (doi) | MR 1505464 | Zbl 19.0488.01

[BW74] D. M. BURNS - J. M. WAHL, Local contributions to global deformations of surfaces. Invent. Math. 26 (1974), 67-88. | fulltext EuDML | fulltext (doi) | MR 349675 | Zbl 0288.14010

[CP09] G. CARNOVALE - F. POLIZZI, The classification of surfaces with $p_g = q = 1$ isogenous to a product of curves. Adv. Geom., Vol. 9, no. 2 (2009), 233-256. | fulltext (doi) | MR 2523842 | Zbl 1190.14036

[Ca89] F. CATANESE, Everywhere non reduced moduli spaces. Invent. Math. 98 (1989), 293-310. | fulltext EuDML | fulltext (doi) | MR 1016266 | Zbl 0701.14039

[Ca91] F. CATANESE, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Invent. Math. 104 (1991), 263-289. | fulltext EuDML | fulltext (doi) | MR 1098610 | Zbl 0743.32025

[Ca00] F. CATANESE, Fibred surfaces, varieties isogenous to a product and related moduli spaces. Amer. J. Math. 122, (2000), 1-44. | MR 1737256 | Zbl 0983.14013

[Ca11] F. CATANESE, 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. | MR 3184164

[CCML98] F. CATANESE - C. CILIBERTO - M. MENDES LOPES, On the classification of irregular surfaces of general type with nonbirational bicanonical map. Trans. Amer. Math. Soc. 350, no. 1 (1998), 275-308. | fulltext (doi) | MR 1422597 | Zbl 0889.14019

[CH06] J. CHEN - C. HACON, A Surface of general type with $p_g = q = 2$ and $K^2 = 5$. Pacific. J. Math. 223 no. 2 (2006), 219-228. | fulltext (doi) | MR 2221025 | Zbl 1112.14047

[CML02] C. CILIBERTO - M. MENDES LOPES, On surfaces with $p_g = q = 2$ and non-birational bicanonical map. Adv. Geom. 2, n. 3 (2002), 281-300. | fulltext EuDML | fulltext (doi) | MR 1924760 | Zbl 1027.14018

[CMLP13] C. CILIBERTO - M. MENDES LOPES - R. PARDINI, The classification of minimal irregular surfaces of general type with $K^2 = 2p_g$, preprint arXiv:1307.6228. | fulltext (doi) | MR 3272911

[Gie77] D. GIESEKER, Global moduli for surfaces of general type. Invent. Math 43, no. 3 (1977), 233-282. | fulltext EuDML | fulltext (doi) | MR 498596 | Zbl 0389.14006

[HP02] C. HACON - R. PARDINI, Surfaces with $p_g = q = 3$. Trans. Amer. Math. Soc. 354 (2002), 2631-2638. | fulltext (doi) | MR 1895196 | Zbl 1009.14004

[HM99] D. W. HAHN - R. MIRANDA, Quadruple covers of algebraic varieties. J. Algebraic Geom. 8 (1999). | MR 1658196 | Zbl 0982.14008

[M03] M. MANETTI, Surfaces of Albanese General type and the Severi conjecture. Math. Nachr., Vol. 261/262 (2003), 105-122. | fulltext (doi) | MR 2020390 | Zbl 1044.14017

[M85] R. MIRANDA, Triple covers in algebraic geometry. Amer. J. of Math. 107 (1985), 1123-1158. | fulltext (doi) | MR 805807 | Zbl 0611.14011

[MP10] E. MISTRETTA - F. POLIZZI, Standard isotrivial fibrations with $p_g = q = 1$ II. AG/0805.1424.

[Pi02] G. P. PIROLA, Surfaces with $p_g = q = 3$. Manuscripta Math. 108, no. 2 (2002), 163-170. | fulltext (doi) | MR 1918584 | Zbl 0997.14009

[Pe11] M. PENEGINI, The classification of isotrivially fibred surfaces with $p_g = q = 2$. Collect. Math. 62, No. 3 (2011), 239-274. | fulltext (doi) | MR 2825713 | Zbl 1228.14035

[PP10] M. PENEGINI - F. POLIZZI, 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. | MR 3128997

[PP11] M. PENEGINI - F. POLIZZI, 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. | fulltext (doi) | MR 3004463

[PP12] M. PENEGINI - F. POLIZZI, 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. | fulltext (doi) | MR 3291798 | Zbl 1325.14056

[Z03] F. ZUCCONI, Surfaces with $p_g = q = 2$ and an irrational pencil. Canad. J. Math. Vol. 55 (2003), 649-672. | fulltext (doi) | MR 1980618 | Zbl 1053.14042

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