Moduli Spaces and Vector Bundles
Herausgeber: Bradlow, Steven B.; García-Prada, Oscar; Brambila-Paz, Leticia
Moduli Spaces and Vector Bundles
Herausgeber: Bradlow, Steven B.; García-Prada, Oscar; Brambila-Paz, Leticia
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Coverage includes foundational material as well as current research, authored by top specialists within their fields.
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Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 516
- Erscheinungstermin: 21. Mai 2009
- Englisch
- Abmessung: 229mm x 152mm x 28mm
- Gewicht: 739g
- ISBN-13: 9780521734714
- ISBN-10: 0521734711
- Artikelnr.: 26432346
- Verlag: Cambridge University Press
- Seitenzahl: 516
- Erscheinungstermin: 21. Mai 2009
- Englisch
- Abmessung: 229mm x 152mm x 28mm
- Gewicht: 739g
- ISBN-13: 9780521734714
- ISBN-10: 0521734711
- Artikelnr.: 26432346
Preface
Acknowledgments
Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji
2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas
3. Fourier-Mukai and Nahm transforms U. Bruzzo, D. Hernández Ruipérez and C. Tejero Prieto
4. Geometric invariant theory P. E. Newstead
5. Deformation theory for vector bundles N. Nitsure
6. The theory of vector bundles S. Ramanan
Part II. Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L. Álvarez-Cónsul and A. King
8. Coherent Systems: a brief survey S. B. Bradlow
9. Higgs bundles surface group representations Oscar García-Prada
10. Quotients by non-reductive algebraic group actions Frances Kirwan
11. Dualities on T*SUx(2,Ox) E. Previato
12. Moduli spaces for principal bundles A. H. W. Schmitt
Part III. Research Articles: 13. Beilinson type spectral sequences on scrolls M. Aprodu and V. Brînz¿nescu
14. Coherent systems on a nodal curve Usha N. Bhosle
15. Brill-Noether bundles and coherent systems on special curves L. Brambila-Paz and Angela Ortega
16. Higgs bundles in the vector representation N. Hitchin
17. Moduli spaces of torsion free sheaves on nodal curves C. S. Seshadri.
Acknowledgments
Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji
2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas
3. Fourier-Mukai and Nahm transforms U. Bruzzo, D. Hernández Ruipérez and C. Tejero Prieto
4. Geometric invariant theory P. E. Newstead
5. Deformation theory for vector bundles N. Nitsure
6. The theory of vector bundles S. Ramanan
Part II. Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L. Álvarez-Cónsul and A. King
8. Coherent Systems: a brief survey S. B. Bradlow
9. Higgs bundles surface group representations Oscar García-Prada
10. Quotients by non-reductive algebraic group actions Frances Kirwan
11. Dualities on T*SUx(2,Ox) E. Previato
12. Moduli spaces for principal bundles A. H. W. Schmitt
Part III. Research Articles: 13. Beilinson type spectral sequences on scrolls M. Aprodu and V. Brînz¿nescu
14. Coherent systems on a nodal curve Usha N. Bhosle
15. Brill-Noether bundles and coherent systems on special curves L. Brambila-Paz and Angela Ortega
16. Higgs bundles in the vector representation N. Hitchin
17. Moduli spaces of torsion free sheaves on nodal curves C. S. Seshadri.
Preface
Acknowledgments
Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji
2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas
3. Fourier-Mukai and Nahm transforms U. Bruzzo, D. Hernández Ruipérez and C. Tejero Prieto
4. Geometric invariant theory P. E. Newstead
5. Deformation theory for vector bundles N. Nitsure
6. The theory of vector bundles S. Ramanan
Part II. Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L. Álvarez-Cónsul and A. King
8. Coherent Systems: a brief survey S. B. Bradlow
9. Higgs bundles surface group representations Oscar García-Prada
10. Quotients by non-reductive algebraic group actions Frances Kirwan
11. Dualities on T*SUx(2,Ox) E. Previato
12. Moduli spaces for principal bundles A. H. W. Schmitt
Part III. Research Articles: 13. Beilinson type spectral sequences on scrolls M. Aprodu and V. Brînz¿nescu
14. Coherent systems on a nodal curve Usha N. Bhosle
15. Brill-Noether bundles and coherent systems on special curves L. Brambila-Paz and Angela Ortega
16. Higgs bundles in the vector representation N. Hitchin
17. Moduli spaces of torsion free sheaves on nodal curves C. S. Seshadri.
Acknowledgments
Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji
2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas
3. Fourier-Mukai and Nahm transforms U. Bruzzo, D. Hernández Ruipérez and C. Tejero Prieto
4. Geometric invariant theory P. E. Newstead
5. Deformation theory for vector bundles N. Nitsure
6. The theory of vector bundles S. Ramanan
Part II. Survey articles: 7. Moduli of sheaves from moduli of Kronecker modules L. Álvarez-Cónsul and A. King
8. Coherent Systems: a brief survey S. B. Bradlow
9. Higgs bundles surface group representations Oscar García-Prada
10. Quotients by non-reductive algebraic group actions Frances Kirwan
11. Dualities on T*SUx(2,Ox) E. Previato
12. Moduli spaces for principal bundles A. H. W. Schmitt
Part III. Research Articles: 13. Beilinson type spectral sequences on scrolls M. Aprodu and V. Brînz¿nescu
14. Coherent systems on a nodal curve Usha N. Bhosle
15. Brill-Noether bundles and coherent systems on special curves L. Brambila-Paz and Angela Ortega
16. Higgs bundles in the vector representation N. Hitchin
17. Moduli spaces of torsion free sheaves on nodal curves C. S. Seshadri.