Intersections of Hirzebruch Zagier Divisors and CM Cycles
This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert mod...
में बचाया:
| मुख्य लेखकों: | , |
|---|---|
| स्वरूप: | Livre numérique |
| भाषा: | Anglais |
| प्रकाशित: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| संस्करण: | 1st ed. 2012. |
| श्रृंखला: | Lecture Notes in Mathematics
2041 |
| विषय: | |
| ऑनलाइन पहुंच: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| टिप्पणी: |
L'impression du document génère 145 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Intersections of Hirzebruch-Zagier divisors and CM cycles, Benjamin Howard, Tonghai Yang, 2012, Heidelberg [etc.], Springer, 1 vol. (VIII-140 p.), Lecture notes in mathematics, 978-3-642-23978-6 • Intersections of Hirzebruch-Zagier Divisors and CM Cycles, Texte imprimé, 9783642239809 • Intersections of Hirzebruch-Zagier divisors and CM cycles, Benjamin Howard, Tonghai Yang, 2012, Heidelberg [etc.], Springer, 1 vol. (VIII-140 p.), Lecture notes in mathematics, 978-3-642-23978-6 |
| सारांश: | This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. |
|---|---|
| वस्तु वर्णन: | L'impression du document génère 145 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ग्रन्थसूची: | Bibliogr. Index |
| आईएसबीएन: | 9783642239793 |
| आईएसएसएन: | 1617-9692 |
| अभिगमन: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |