Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| סדרה: | Lecture notes in mathematics
1780 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Borcherds products on O(2, l) and Chern classes of Heegner divisors, Jan H. Bruinier, 2002, Berlin, Springer, 1 vol. (VIII-152 p.), Lecture notes in mathematics, 3-540-43320-1 • Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors, Texte imprimé, 9783662163696 |
תוכן הענינים:
- Introduction
- Vector valued modular forms for the metaplectic group. The Weil representation. Poincaré series and Einstein series. Non-holomorphic Poincaré series of negative weight
- The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta
- The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products
- Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and L^p-estimates. Modular forms with zeros and poles on Heegner divisors
- Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II.