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.

**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**

**Similar Algebraic Geometry books**

**An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)**

An available textual content introducing algebraic geometries and algebraic teams at complicated undergraduate and early graduate point, this booklet develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first rules. development at the heritage fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complex and specialized fabric.

**The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)**

The idea of elliptic curves is extraordinary by means of its lengthy heritage and by way of the range of the equipment which were utilized in its learn. This e-book treats the mathematics procedure in its smooth formula, by utilizing uncomplicated algebraic quantity thought and algebraic geometry. Following a quick dialogue of the required algebro-geometric effects, the e-book proceeds with an exposition of the geometry and the formal team of elliptic curves, elliptic curves over finite fields, the advanced numbers, neighborhood fields, and worldwide fields.

**Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)**

This seriously class-tested ebook is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A simple wisdom of algebra and topology on the first yr graduate point of an American college is thought. the 1st half is worried with hyperbolic geometry and discrete teams.

**Extra info 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)**