This quantity paintings on Positivity in Algebraic Geometry incorporates a modern account of a physique of labor in advanced algebraic geometry loosely based round the subject of positivity. subject matters in quantity I comprise plentiful 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 now not formerly seemed in booklet shape, and colossal elements are labored out the following intimately for the 1st time. not less than a 3rd of the publication is dedicated to concrete examples, functions, and tips that could extra developments.
Volume I is extra straightforward 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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