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Hilbert Modular Forms : mod p and p-Adic Aspects.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2005Copyright date: ©2005Edition: 1st edDescription: 1 online resource (114 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404208
Subject(s): Genre/Form: Additional physical formats: Print version:: Hilbert Modular FormsDDC classification:
  • 510 s;516.3/5
LOC classification:
  • QA242.5 -- .A53 2005eb
Online resources:
Contents:
Intro -- Contents -- 1. Introduction -- 2. Notations -- 3. Moduli spaces of abelian varieties with real multiplication -- 4. Properties of G -- 5. Hilbert modular forms -- 6. The q-expansion map -- 7. The partial Hasse invariants -- 8. Reduceness of the partial Hasse invariants -- 9. A compactification of m(k, μ[sub(pN)])[sup(Kum)] -- 10. Congruences mod p[sup(n)] and Serre's p-adic modular forms -- 11. Katz's p-adic Hilbert modular forms -- 12. The operators Θ[sub(B,i)] -- 13. The operator V -- 14. The operator U -- 15. Applications to filtrations of modular forms -- 16. Theta cycles and parallel filtration (inert case) -- 17. Functorialities -- 18. Integrality and congruences for values of zeta functions -- 19. Numerical examples -- 20. Comments regarding values of zeta functions -- 21. References.
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Intro -- Contents -- 1. Introduction -- 2. Notations -- 3. Moduli spaces of abelian varieties with real multiplication -- 4. Properties of G -- 5. Hilbert modular forms -- 6. The q-expansion map -- 7. The partial Hasse invariants -- 8. Reduceness of the partial Hasse invariants -- 9. A compactification of m(k, μ[sub(pN)])[sup(Kum)] -- 10. Congruences mod p[sup(n)] and Serre's p-adic modular forms -- 11. Katz's p-adic Hilbert modular forms -- 12. The operators Θ[sub(B,i)] -- 13. The operator V -- 14. The operator U -- 15. Applications to filtrations of modular forms -- 16. Theta cycles and parallel filtration (inert case) -- 17. Functorialities -- 18. Integrality and congruences for values of zeta functions -- 19. Numerical examples -- 20. Comments regarding values of zeta functions -- 21. References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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