Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

• Κύριοι συγγραφείς: Getz, Jayce (Συγγραφέας), Goresky, Mark (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2012.
• Σειρά: Progress in Mathematics ; 298
• Θέματα: Mathematics.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these the...

Πίνακας περιεχομένων:

• Chapter 1. Introduction
• Chapter 2. Review of Chains and Cochains
• Chapter 3. Review of Intersection Homology and Cohomology
• Chapter 4. Review of Arithmetic Quotients
• Chapter 5. Generalities on Hilbert Modular Forms and Varieties
• Chapter 6. Automorphic vector bundles and local systems
• Chapter 7. The automorphic description of intersection cohomology
• Chapter 8. Hilbert Modular Forms with Coefficients in a Hecke Module
• Chapter 9. Explicit construction of cycles
• Chapter 10. The full version of Theorem 1.3
• Chapter 11. Eisenstein Series with Coefficients in Intersection Homology
• Appendix A. Proof of Proposition 2.4
• Appendix B. Recollections on Orbifolds
• Appendix C. Basic adèlic facts
• Appendix D. Fourier expansions of Hilbert modular forms
• Appendix E. Review of Prime Degree Base Change for GL2
• Bibliography.