This quantity paintings on **Positivity in Algebraic Geometry** encompasses a modern account of a physique of labor in advanced algebraic geometry loosely headquartered round the subject matter of positivity. themes in quantity I comprise abundant line bundles and linear sequence on a projective type, the classical theorems of Lefschetz and Bertini and their glossy outgrowths, vanishing theorems, and native positivity. quantity II starts with a survey of positivity for vector bundles, and strikes directly to a scientific improvement of the idea of multiplier beliefs and their functions. a great deal of this fabric has no longer formerly seemed in publication shape, and tremendous components are labored out the following intimately for the 1st time. a minimum of a 3rd of the ebook is dedicated to concrete examples, purposes, and tips that could extra developments.

Volume I is extra ordinary than quantity II, and, for the main half, it may be learn with no entry to quantity II.

**Read or Download Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF**

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