You are here

Geometric Modular Forms and Elliptic Curves

Haruzo Hida
Publisher: 
World Scientific
Publication Date: 
2012
Number of Pages: 
454
Format: 
Hardcover
Edition: 
2
Price: 
118.00
ISBN: 
9789814368643
Category: 
Textbook
We do not plan to review this book.
  • An Algebro-Geometric Tool Box:
    • Sheaves
    • Schemes
    • Projective Schemes
    • Categories and Functors
    • Applications of the Key-Lemma
    • Group Schemes
    • Cartier Duality
    • Quotients by a Group Scheme
    • Morphisms
    • Cohomology of Coherent Sheaves
    • Descent
    • Barsotti–Tate Groups
    • Formal Scheme
  • Elliptic Curves:
    • Curves and Divisors
    • Elliptic Curves
    • Geometric Modular Forms of Level 1
    • Elliptic Curves over ℂ
    • Elliptic Curves over p–Adic Fields
    • Level Structures
    • L–Functions of Elliptic Curves
    • Regularity
    • p–Ordinary Moduli Problems
    • Deformation of Elliptic Curves
  • Geometric Modular Forms:
    • Integrality
    • Vertical Control Theorem
    • Action of GL(2) on Modular Forms
  • Jacobians and Galois Representations:
    • Jacobians of Stable Curves
    • Modular Galois Representations
    • Fullness of Big Galois Representations
  • Modularity Problems:
    • Induced and Extended Galois Representations
    • Some Other Solutions
    • Modularity of Abelian ℚ-Varieties