Download E-books Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians PDF

By Viktor S. Kulikov, P. F. Kurchanov, V. V. Shokurov (auth.), A. N. Parshin, I. R. Shafarevich (eds.)

The first contribution of this EMS quantity as regards to complicated algebraic geometry touches upon a few of the important difficulties during this immense and intensely lively quarter of present learn. whereas it really is a lot too brief to supply entire insurance of this topic, it presents a succinct precis of the parts it covers, whereas offering in-depth insurance of yes extremely important fields - a few examples of the fields handled in larger element are theorems of Torelli variety, K3 surfaces, edition of Hodge buildings and degenerations of algebraic varieties.
the second one half presents a quick and lucid creation to the hot paintings at the interactions among the classical quarter of the geometry of complicated algebraic curves and their Jacobian types, and partial differential equations of mathematical physics. The paper discusses the paintings of Mumford, Novikov, Krichever, and Shiota, and will be a superb spouse to the older classics at the topic via Mumford.

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