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...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2012. |
| Serier: | Lecture Notes in Mathematics
2041 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
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 |
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| 008 | 120309q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN159084865 | ||
| 020 | |a 9783642239793 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 082 | |a 510 | ||
| 084 | |a 11-xx. 2010 | ||
| 084 | |a 11G15. 2010 | ||
| 084 | |a 11F41. 2010 | ||
| 084 | |a 14G40. 2010 | ||
| 100 | 1 | |a Howard, Benjamin, |d 19..- | |
| 245 | 1 | 0 | |a Intersections of Hirzebruch Zagier Divisors and CM Cycles |c Benjamin Howard, Tonghai Yang. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2041 |x 1617-9692 | |
| 500 | |a L'impression du document génère 145 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1. Introduction 2. Linear Algebra 3. Moduli Spaces of Abelian Surfaces 4. Eisenstein Series 5. The Main Results 6. Local Calculations. | |
| 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 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. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Courbes modulaires | ||
| 650 | |a Séries d'Eisenstein | ||
| 650 | |a Théorie des intersections | ||
| 650 | |a Mathématiques | ||
| 700 | 1 | |a Yang, Tonghai, |d 1963- |4 aut | |
| 776 | 0 | |0 158104668 |t Intersections of Hirzebruch-Zagier divisors and CM cycles |f Benjamin Howard, Tonghai Yang |d 2012 |c Heidelberg [etc.] |n Springer |p 1 vol. (VIII-140 p.) |s Lecture notes in mathematics |z 978-3-642-23978-6 | |
| 776 | 0 | |t Intersections of Hirzebruch-Zagier Divisors and CM Cycles |b Texte imprimé |z 9783642239809 | |
| 776 | 0 | |0 158104668 |t Intersections of Hirzebruch-Zagier divisors and CM cycles |f Benjamin Howard, Tonghai Yang |d 2012 |c Heidelberg [etc.] |n Springer |p 1 vol. (VIII-140 p.) |s Lecture notes in mathematics |z 978-3-642-23978-6 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-23979-3 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-ZG6DPJ72-7 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750603801 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-23979-3 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753964015 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-23979-3 |z Accès INSA CVL | |
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