Helices and Vector Bundles

Seminaire Rudakov

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Paperback | 11 August 1990

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152 Pages

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22.86 x 15.24 x 0.89

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This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organized in Moscow by A.N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected, the approach is concrete; the theory is considered for quadrics, ruled surfaces, K3 surfaces and PP^T3(C).

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Exceptional collections, mutations and helixes
Construction of bundles on an elliptic curve
Computing invariants of exceptional bundles on a quadric
Exceptional bundles of small rank on P1 x P1
On the functors Ext applied to exceptional bundles on P2
Homogeneous bundles
Exceptional objects and mutations in derived categories
Helixes, representations of quivers and Koszul algebras
Exceptional collections on ruled surfaces
Exceptional bundles on K3 surfaces
Stability of exceptional bundles on three dimensional projective space
A symmetric helix on the Pluker quadric
Table of Contents provided by Publisher. All Rights Reserved.

Helices and Vector Bundles

Seminaire Rudakov

At a Glance

Paperback

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How to return your order

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