This quantity paintings on Positivity in Algebraic Geometry incorporates a modern account of a physique of labor in advanced algebraic geometry loosely founded round the topic of positivity. issues in quantity I comprise abundant line bundles and linear sequence on a projective kind, 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 purposes. a great deal of this fabric has no longer formerly seemed in e-book shape, and immense components are labored out right here intimately for the 1st time. a minimum of a 3rd of the e-book is dedicated to concrete examples, functions, and tips that could additional developments.

Volume I is extra basic than quantity II, and, for the main half, it may be learn with out entry to quantity II.

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