An Introduction to Invariants and Moduli

Zusatztext Review of the hardback: 'The book contains a great amount of material! but it remains very readable. The author has obviously put a lot of effort into making even the complicated topics accessible.' Gábor Megyesi! UMIST Klappentext This 2003 volume consists of the first two volumes of Mukai's series on moduli theory. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Shigeru Mukai, Shigeru (Nagoya University Mukai
• Assisted by: W. M. Oxbury (Translation)
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 16.08.2012
• EAN: 9781107406360
• ISBN: 978-1-107-40636-0
• Dimensions: 150 mm x 230 mm x 30 mm
• Series: Cambridge Studies in Advanced Mathematics; Print on Demand; Cambridge Studies in Advanced Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra