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Compactification of the Drinfeld Modular Surfaces

Available Formats:
Electronic ISBN: 978-1-4704-0527-4
Product Code: MEMO/197/921.E
94 pp
List Price: $69.00 MAA Member Price:$62.10
AMS Member Price: $41.40 Click above image for expanded view Compactification of the Drinfeld Modular Surfaces Available Formats:  Electronic ISBN: 978-1-4704-0527-4 Product Code: MEMO/197/921.E 94 pp  List Price:$69.00 MAA Member Price: $62.10 AMS Member Price:$41.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 1972009
MSC: Primary 11; 13; 14;

In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank 1, and its points are interpreted as Tate data. The author also studies infinitesimal deformations of Drinfeld modules with level structure.

• Chapters
• Introduction
• Chapter 1. Line bundles
• Chapter 2. Drinfeld modules
• Chapter 3. Deformation theory
• Chapter 4. Tate uniformization
• Chapter 5. Compactification of the modular surfaces
• Appendix
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Volume: 1972009
MSC: Primary 11; 13; 14;

In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank 1, and its points are interpreted as Tate data. The author also studies infinitesimal deformations of Drinfeld modules with level structure.

• Chapters
• Introduction
• Chapter 1. Line bundles
• Chapter 2. Drinfeld modules
• Chapter 3. Deformation theory
• Chapter 4. Tate uniformization
• Chapter 5. Compactification of the modular surfaces
• Appendix
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