An Introduction to Invariants and Moduli

List of contents

1. Invariants and moduli; 2. Rings and polynomials; 3. Algebraic varieties; 4. Algebraic groups and rings of invariants; 5. Construction of quotient spaces; 6. Global construction of quotient varieties; 7. Grassmannians and vector bundles; 8. Curves and their Jacobians; 9. Stable vector bundles on curves; 10. Moduli functors; 11. Intersection numbers and the Verlinde formula; 12. The numerical criterion and its applications.

Summary

This 2003 volume consists of the first two volumes of Mukai's series on moduli theory. The work contained here is central to geometry but has also found applications in a wide range of other areas. This book will be a valuable resource for graduate students and researchers alike.

Product details

• Authors: Shigeru Mukai, W. M. Oxbury, Mukai Shigeru
• Assisted by: W. M. Oxbury (Translation)
• Publisher: Cambridge University Press
• Languages: English
• Product format: Hardback
• Released: 01.03.2010
• EAN: 9780521809061
• ISBN: 978-0-521-80906-1
• No. of pages: 524
• Dimensions: 157 mm x 235 mm x 35 mm
• Weight: 993 g
• Series: Cambridge Studies in Advanced
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra