Moduli spaces and vector bundles
著者
書誌事項
Moduli spaces and vector bundles
(London Mathematical Society lecture note series, 359)
Cambridge University Press, 2009
- : pbk
大学図書館所蔵 全47件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Other editors: Leticia Brambila-Paz, Oscar García-Prada, S. Ramanan
Includes bibliographical references
内容説明・目次
内容説明
Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.
目次
- 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. Hernandez Ruiperez 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. Alvarez-Consul and A. King
- 8. Coherent Systems: a brief survey S. B. Bradlow
- 9. Higgs bundles surface group representations Oscar Garcia-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. Brinzanescu
- 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.
「Nielsen BookData」 より