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Algebraic Surfaces and Holomorphic Vector Bundles by Friedman. R. is a nonfiction available to read on EtoBox.

What is Algebraic Surfaces and Holomorphic Vector Bundles about?

This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first-year course in algebraic geometry (at the level of Hartshorne's Algebraic Geometry), as well as more advanced graduate students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology. Many of the results on vector bundles should also be of interest to physicists studying string theory. A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, and are studied in alternate chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, and then the geometry of vector bundles over such surfaces is analyzed. Many of

Who reads Algebraic Surfaces and Holomorphic Vector Bundles?

Author

Friedman. R.

Published

1998

Language

EN

Category

nonfiction

Subjects

Mathematics, Algebra, Stem