Periods of Hilbert Modular Surfaces

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..