Hilbert modular forms with coefficients in intersection homology and quadratic base change
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...
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| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2012. |
| Colecção: | Progress in Mathematics
298 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hilbert modular forms with coefficients in intersection homology and quadratic base change, Jayce Getz, Mark Goresky, 2012, [Basel], Birkhäuser, Springer, 1 vol. (XIII-256 p.), Progress in mathematics, 978-3-03-480350-2 • Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change, Texte imprimé, 9783034807951 • Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change, Texte imprimé, 9783034803526 |
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| 100 | 1 | |a Getz, Jayce R., |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Hilbert modular forms with coefficients in intersection homology and quadratic base change |c by Jayce Getz, Mark Goresky. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 298 |x 2296-505X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces | ||
| 650 | |a Surfaces modulaires de Hilbert | ||
| 650 | |a Formes modulaires | ||
| 650 | |a Théorie des modules | ||
| 700 | 1 | |a Goresky, Mark, |d 1950-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 161682251 |t Hilbert modular forms with coefficients in intersection homology and quadratic base change |f Jayce Getz, Mark Goresky |d 2012 |c [Basel] |n Birkhäuser |n Springer |p 1 vol. (XIII-256 p.) |s Progress in mathematics |z 978-3-03-480350-2 | |
| 776 | 0 | |t Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change |b Texte imprimé |z 9783034807951 | |
| 776 | 0 | |t Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change |b Texte imprimé |z 9783034803526 | |
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| 856 | 4 | |5 180339901:752331329 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0351-9 |z Accès INSA CVL | |
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