Download E-books Compact Complex Surfaces (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF

Within the 19 years which handed because the first version used to be released, a number of very important advancements have taken position within the idea of surfaces. the main sensational one issues the differentiable constitution of surfaces. two decades in the past little or no used to be identified approximately differentiable buildings on 4-manifolds, yet meanwhile Donaldson at the one hand and Seiberg and Witten nevertheless, have discovered, encouraged via gauge conception, absolutely new invariants. Strikingly, including the idea defined during this booklet those invariants yield a wealth of recent effects concerning the differentiable constitution of algebraic surfaces. different advancements comprise the systematic use of nef-divisors (in ac­ cordance with the growth made within the category of upper dimensional algebraic varieties), a greater realizing of Kahler buildings on surfaces, and Reider's new method of adjoint mappings. a majority of these advancements were integrated within the current version, notwithstanding the Donaldson and Seiberg-Witten thought purely in terms of examples. in fact we use the chance to right a few minor blunders, which we ether have stumbled on ourselves or that have been communicated to us via cautious readers to whom we're a lot obliged.

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