This quantity paintings on Positivity in Algebraic Geometry features a modern account of a physique of labor in complicated algebraic geometry loosely based round the topic of positivity. issues in quantity I comprise plentiful line bundles and linear sequence on a projective sort, the classical theorems of Lefschetz and Bertini and their smooth 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 speculation of multiplier beliefs and their purposes. a great deal of this fabric has now not formerly seemed in ebook shape, and vast elements are labored out right here intimately for the 1st time. at the least a 3rd of the booklet is dedicated to concrete examples, functions, and tips that could extra developments.

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

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