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Compactification of the Drinfeld Modular Surfaces
Thomas Lehmkuhl

Memoirs of the American Mathematical Society
2009; 94 pp; softcover
Volume: 197
ISBN-10: 0-8218-4244-7
ISBN-13: 978-0-8218-4244-7
List Price: US$69
Individual Members: US$41.40
Institutional Members: US$55.20
Order Code: MEMO/197/921
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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.

Table of Contents

  • Line bundles
  • Drinfeld modules
  • Deformation theory
  • Tate uniformization
  • Compactification of the modular surfaces
  • Appendix
  • Bibliography
  • Glossary of notations
  • Index
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