Automorphic Forms and the Picard Number of an Elliptic Surface

Automorphic Forms and the Picard Number of an Elliptic Surface

PDF Free Download | Automorphic Forms and the Picard Number of an Elliptic Surface by Peter F. Stiller

Contents of Automorphic Forms and Picard Number Elliptic Surface

  • PART 1. DIFFERENTIAL EQUATIONS
  • Generalities
  • Inhomogeneous equations
  • Automorphic forms
  • Periods
  • PART 2. K-EQUATIONS
  • Definitions
  • Local properties
  • Automorphic forms associated to K-equations and parabolic cohomology
  • PART 3. ELLIPTIC SURFACES
  • Automorphic forms and a result of Hoyt’s
  • Periods and the rank of Egen
  • A generalization
  • PART 4. HODGE THEORY
  • The filtrations
  • Differentials of the second kind
  • PART 5. THE PICARD NUMBER
  • Periods and period integrals
  • Periods and differential equations satisfied by normal functions
  • A formula, a method, and a remark on special values of Dirichlet series
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