Successive waves of migrant thoughts, mostly from mathematical physics, have motivated the examine of vector bundles over algebraic forms long ago few years. however the topic has retained its roots in previous questions touching on subvarieties of projective house. The 1993 Durham Symposium on vector bundles in algebraic geometry introduced jointly many of the top researchers within the box to additional discover those interactions. This e-book is a set of survey articles by way of the most audio system on the Symposium and offers to the mathematical global an outline of the main parts of study related to vector bundles. subject matters contain augmented bundles and coherent structures which hyperlink gauge concept and geometric invariant concept; Donaldson invariants of algebraic surfaces; Floer homology and quantum cohomology; conformal box thought and the moduli areas of bundles on curves; the Horrocks-Mumford package deal and codimension 2 subvarieties in p4 and p5; and unparalleled bundles and sturdy sheaves on projective house. This ebook will charm tremendously to mathematicians operating in algebraic geometry and parts adjacent mathematical physics.

Show description

Read or Download Vector Bundles in Algebraic Geometry (London Mathematical Society Lecture Note Series) PDF

Similar Algebraic Geometry books

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

An obtainable textual content introducing algebraic geometries and algebraic teams at complicated undergraduate and early graduate point, this ebook 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 history fabric from algebraic geometry and algebraic teams, the textual content offers an advent to extra complex and specialized fabric.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The speculation of elliptic curves is exceptional by means of its lengthy heritage and by means of the variety of the equipment which were utilized in its examine. This booklet treats the mathematics procedure in its glossy formula, by using uncomplicated algebraic quantity concept and algebraic geometry. Following a short dialogue of the required algebro-geometric effects, the publication 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.

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 easy wisdom of algebra and topology on the first yr graduate point of an American college is believed. the 1st half is anxious with hyperbolic geometry and discrete teams.

Additional resources for Vector Bundles in Algebraic Geometry (London Mathematical Society Lecture Note Series)

Show sample text content

Rated 4.91 of 5 – based on 25 votes