LMS: 148 Helices and Vector Bundles: Seminaire Rudakov - Brossura

Libro 129 di 387: London Mathematical Society Lecture Notes

Rudakov, A. N.

 
9780521388115: LMS: 148 Helices and Vector Bundles: Seminaire Rudakov
Brossura
ISBN 10: 0521388112 ISBN 13: 9780521388115
Casa editrice: Cambridge University Press, 2008

Sinossi

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 organised 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 P3(C).

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Descrizione del libro

This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebra geometry. The work, arising from a series of seminars in Moscow, first sets up the general machinery and later explores its use in various concepts.

Contenuti

1. Exceptional collections, mutations and helixes A. N. Rudakov; 2. Construction of bundles on an elliptic curve S. A. Kuleshov; 3. Computing invariants of exceptional bundles on a quadric S. K. Zube and D. Yu Nogin; 4. Exceptional bundles of small rank on P1 x P1 D. Yu Nogin; 5. On the functors Ext applied to exceptional bundles on P2 A. I. Bondal and A. L. Gorodentsev; 6. Homogeneous bundles A. I. Bondal and M. M. Kapranov; 7. Exceptional objects and mutations in derived categories A. L. Gorodentsev; 8. Helixes, representations of quivers and Koszul algebras A. I. Bondal; 9. Exceptional collections on ruled surfaces A. V. Kvichansky and D. Yu Nogin; 10. Exceptional bundles on K3 surfaces S. A. Kuleshov; 11. Stability of exceptional bundles on three dimensional projective space S. K. Zube; 12. A symmetric helix on the Pluker quadric B. V. Karpov.

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Editore
Cambridge University Press
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0521388112
ISBN 13 
9780521388115
Rilegatura
Copertina flessibile
Numero di pagine
152
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

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