Kudla / Rapoport / Yang Modular Forms and Special Cycles on Shimura Curves

Course Book
ISBN: 978-1-4008-3716-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 392 Seiten

Reihe: Annals of Mathematics Studies

Stephen S. Kudla is at the University of Maryland. Michael Rapoport is at the Mathematisches Institut der Universität, Bonn, Germany. Tonghai Yang is at the University of Wisconsin, Madison.

Autoren/Hrsg.

Kudla, Stephen S.

Rapoport, Michael

Yang, Tonghai

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Acknowledgments ix

Chapter 1. Introduction 1

Bibliography 21

Chapter 2. Arithmetic intersection theory on stacks 27

Chapter 3. Cycles on Shimura curves 45

Chapter 4. An arithmetic theta function 71

Chapter 5. The central derivative of a genus two Eisenstein series 105

Chapter 6. The generating function for 0-cycles 167

Chapter 6 Appendix. The case p = 2, p D (B) 181

Chapter 7. An inner product formula 205

Chapter 8. On the doubling integral 265

Chapter 9. Central derivatives of L-functions 351

Index 371

Über Autor(innen)

Stephen S. Kudla is at the University of Maryland. Michael Rapoport is at the Mathematisches Institut der Universität, Bonn, Germany. Tonghai Yang is at the University of Wisconsin, Madison.