The purpose of this ebook is to supply an advent to the constitution concept of upper dimensional algebraic kinds via learning the geometry of curves, particularly rational curves, on types. the most purposes are within the research of Fano types and of comparable types with plenty of rational curves on them. This Ergebnisse quantity offers the 1st systematic advent to this box of analysis. The ebook includes a huge variety of examples and routines which serve to demonstrate the variety of the equipment and in addition result in many open questions of present examine.

Show description

Read or Download Rational Curves on Algebraic Varieties (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 speculation of affine algebraic teams from first rules. construction at the historical past fabric from algebraic geometry and algebraic teams, the textual content presents an creation to extra complex and specialized fabric.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The speculation of elliptic curves is exotic by way of its lengthy background and via the range of the tools which were utilized in its learn. This e-book treats the mathematics process in its sleek formula, by using simple algebraic quantity conception and algebraic geometry. Following a quick dialogue of the mandatory algebro-geometric effects, the publication proceeds with an exposition of the geometry and the formal staff 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 publication 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 12 months graduate point of an American college is believed. the 1st half is worried with hyperbolic geometry and discrete teams.

Extra info for Rational Curves on Algebraic Varieties (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

Show sample text content

Rated 4.80 of 5 – based on 27 votes