From the traditional origins of algebraic geometry within the suggestions of polynomial equations, throughout the triumphs of algebraic geometry over the past centuries, intersection concept has performed a valuable function. the purpose of this ebook is to improve the principles of this idea, and to point the diversity of classical and smooth purposes. even if a entire background of this massive topic isn't tried, the writer issues out many of the awesome early appearances of the tips of intersection thought. Fulton's intersection concept continues to be the one present entire sleek treatise of the topic and got the Steele Prize for most sensible exposition in August 1996.
Read or Download Intersection Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF
Similar Algebraic Geometry books
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 speculation of affine algebraic teams from first rules. construction at the heritage fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complex and specialized fabric.
The speculation of elliptic curves is individual via its lengthy historical past and via the variety of the equipment which have been utilized in its research. This ebook treats the mathematics technique in its sleek formula, by using uncomplicated algebraic quantity conception and algebraic geometry. Following a short dialogue of the mandatory algebro-geometric effects, the e-book proceeds with an exposition of the geometry and the formal crew of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and worldwide fields.
This seriously class-tested e-book 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 anxious with hyperbolic geometry and discrete teams.
Additional info for Intersection Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)