Classification of Complex Algebraic Surfaces

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	FrontmatterDownload pp. i–iv
	PrefaceDownload p. v
	ContentsDownload pp. vii–ix
1	Some preliminariespp. 1–15
2	Characterization of the complex projective planepp. 17–18
3	Minimal modelspp. 19–20
4	Ruled surfacespp. 21–25
5	Surfaces with non-nef canonical bundlepp. 27–35
6	The cone theorempp. 37–42
7	The minimal model programmepp. 43–44
8	The Castelnuovo rationality criterionpp. 45–46
9	The fundamental theorem of the classificationpp. 47–61
10	Classification and the abundance theorempp. 63–74
11	Surfaces of general typepp. 75–78
12	The Bagnera–De Franchis classification of bielliptic surfacespp. 79–87
13	The $P_{12}$ -theorempp. 89–97
14	The Sarkisov programmepp. 99–113
15	The classical Noether–Castelnuovo theorempp. 115–121
16	Examplespp. 123–128
	Bibliographypp. 129–130
	Indexpp. 131–133