Periods of Hilbert Modular Surfaces
Birkhauser Boston Inc (Verlag)
978-0-8176-3084-3 (ISBN)
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..
| Reihe/Serie | Progress in Mathematics ; 19 |
|---|---|
| Zusatzinfo | XVI, 128 p. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| ISBN-10 | 0-8176-3084-8 / 0817630848 |
| ISBN-13 | 978-0-8176-3084-3 / 9780817630843 |
| Zustand | Neuware |
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