The first edition of "Compact Complex Surfaces" was published in 1984 and has become one of the most important books on the subject. In this second enlarged edition the major developments of the last 20 years have been incorporated. The Enriques-Kodaira classification is carried out in the spirit of Mori theory and many new developments have been added, including new analytic tools as well as new algebraic methods such as the theorems of Bogomolov and Reider and their applications. A new section is devoted to the stunning results achieved by the introduction of Donaldson and Seiberg-Witten invariants.
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0 of 2 people found the following review helpful:
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great book,
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This review is from: Complex Compact Surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) (Hardcover)
This is a great book for students studying in algebraic geometry.
It provides complex analytic approach for classification of complex surfaces.
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54
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- Smooth Four-Manifolds and Complex Surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Robert Friedman in Back Matter (1), and Back Matter (2)
- Geometry of Low-Dimensional Manifolds, Vol. 1: Gauge Theory and Algebraic Surfaces (London Mathematical Society Lecture Note Series) by S. K. Donaldson on page 39, and page 60
- Abelian Varieties: Proceedings of the International Conference Held in Egloffstein, Germany, October 3-8, 1993 ([De Gruyter Proceedings in Mathematics]) by Wolf Barth on page 53
- Harmonic Maps between Riemannian Polyhedra (Cambridge Tracts in Mathematics) by J. Eells in Back Matter
- Degeneration of Abelian Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Gerd Faltings in Back Matter
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