Hilbert modular forms with coefficients in intersection homology and quadratic base change
[Book]
/ Jayce Getz, Mark Goresky
Basel ;New York
: Birkheauser,
, c2012.
xiii, 256 p. , ill. , 24 cm.
(Progress in mathematics
; v. 298)
Electronic
Includes bibliographical references (p. 237-247) and indexes.
1. Introduction -- 2. Review of chains and cochains -- 3. Review of intersection homology and cohomology -- 4. Review of arithmetic quotients -- 5. Generalities on Hilbert modular forms and varieties -- 6. Automorphic vector bundles and local systems -- 7. The automorphic description of intersection cohomology -- 8. Hilbert modular forms with coefficients in a Hecke module -- 9. Explicit construction of cycles -- 10. The full version of theorem 1.3 -- 11. Eisenstein series with coefficients in intersection homology -- Appendices.