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Automorphic forms and the Picard number of an elliptic surface

Author: Peter Stiller
Publisher: Braunschweig : Vieweg, 1984.
Series: Aspects of mathematics., E ;, vol. 5.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Stiller, Peter, 1951-
Automorphic forms and the Picard number of an elliptic surface.
Braunschweig : Vieweg, 1984
(OCoLC)707443674
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Stiller
ISBN: 3528085878 9783528085872
OCLC Number: 11638881
Description: 194 pages : illustrations ; 23 cm.
Contents: I. Differential Equations.- 1. Generalities.- 2. Inhomogeneous equations.- 3. Automorphic forms.- 4. Periods.- II. K-Equations.- 1. Definitions.- 2. Local properties.- 3. Automorphic forms associated to K-equations and parabolic cohomology.- III. Elliptic Surfaces.- 1. Introduction.- 2. A bound on the rank r of Egen (K(X)).- 3. Automorphic forms and a result of Hoyt's.- 4. Periods and the rank of Egen (K(X)).- 5. A generalization.- IV. Hodge Theory.- 1. The filtrations.- 2. Differentials of the second kind.- V. The Picard Number.- 1. Periods and period integrals.- 2. Periods and differential equations satisfied by normal functions.- 3. A formula, a method, and a remark on special values of Dirichlet series.- 4. Examples.- Appendix I. Third Order Differential Equations.
Series Title: Aspects of mathematics., E ;, vol. 5.
Responsibility: Peter F. Stiller.

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