Isbn: 9780817630843 - periods of hilbert modular surfaces (progress in mathematics, 19, band 19) (4 Ergebnisse)

Zustand: New. In English.

Hardcover. Zustand: Brand New. 144 pages. 9.30x6.30x0.60 inches. In Stock.

Zustand: New. 1982. Paperback. . . . . . Books ship from the US and Ireland.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - I. Hodge structures attached to primitive forms of weight 2.- 0. Definitions and notations.- 1. Hodge structures attached to Hilbert modular surfaces.- 2. Hodge structures attached to primitive forms of weight 2.- 3. Nonholomorphic involutive automorphisms of Hilbert modular surfaces.- 4. Period relation of Riemann-Hodge.- II. Abelian varieties attached to primitive forms.- 5. Abelian varieties attached to Clifford algebras.- 6. The period moduli of the isogeny classes Atf Q and A2f Q.- 7. Main theorem A and its corollaries.- 8. Selfconjugate forms and algebraic cycles.- 9. Abelian varieties attached to non-selfconjugate forms.- III. Correspondence between real Nebentype elliptic modular forms and Hilbert modular forms.- 10. Weil representation and theta series.- 11. Construction of real Nebentype elliptic modular forms.- 12. Construction of Hilbert modular forms.- 13. The adjointness formula.- IV. Period relation for the lifting of modular forms and transcendental cycles.- 14. Hodge structures attached to real Nebentype elliptic modular forms of weight 2.- 15. Construction of 2-cycles.- 16. Arithmetic index theorems.- 17. Period relation for the Doi-Naganuma lifting and Main Theorem B.- 18. Selfconjugate forms and transcendental cycles.- 19. Notes on -adic cohomology groups of certain Hilbert modular surfaces.- 20. Remarks.- Bibliography. …