Vector-Valued Orthogonal Modular Forms
Shouhei Ma
Tokyo Institute of Technology, Japan
This book is published open access.
| FrontmatterDownload pp. i–iv | |
| AbstractDownload p. v | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–11 |
| 2 | The two Hodge bundlesDownload pp. 13–24 |
| 3 | Vector-valued modular formsDownload pp. 25–43 |
| 4 | Witt operatorsDownload pp. 45–52 |
| 5 | Canonical extension over 1-dimensional cuspsDownload pp. 53–66 |
| 6 | Geometry of Siegel operatorsDownload pp. 67–79 |
| 7 | Fourier–Jacobi expansionDownload pp. 81–98 |
| 8 | Filtrations associated to 1-dimensional cuspsDownload pp. 99–112 |
| 9 | Vanishing theorem IDownload pp. 113–117 |
| 10 | Square integrabilityDownload pp. 119–131 |
| 11 | Vanishing theorem IIDownload pp. 133–140 |
| Index of SymbolsDownload pp. 145–147 | |
| ReferencesDownload pp. 141–143 |