This quantity paintings on Positivity in Algebraic Geometry encompasses a modern account of a physique of labor in advanced algebraic geometry loosely situated round the topic of positivity. subject matters in quantity I contain considerable line bundles and linear sequence on a projective style, the classical theorems of Lefschetz and Bertini and their glossy outgrowths, vanishing theorems, and native positivity. quantity II starts off with a survey of positivity for vector bundles, and strikes directly to a scientific improvement of the idea of multiplier beliefs and their purposes. a great deal of this fabric has no longer formerly seemed in booklet shape, and massive components are labored out right here intimately for the 1st time. not less than a 3rd of the booklet is dedicated to concrete examples, functions, and tips to additional developments.
Volume I is extra straight forward than quantity II, and, for the main half, it may be learn with out 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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Additional resources for 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)