Lan Arithmetic Compactifications of PEL-Type Shimura Varieties

Course Book
ISBN: 978-1-4008-4601-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 36, 584 Seiten

Reihe: London Mathematical Society Monographs

No detailed description available for "Arithmetic Compactifications of PEL-Type Shimura Varieties".

Autoren/Hrsg.

Lan, Kai-Wen

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

FrontMatter, pg. i
Contents, pg. v
Acknowledgments, pg. xi
Introduction, pg. xiii
Chapter One. Definition of Moduli Problems, pg. 1
Chapter Two. Representability of Moduli Problems, pg. 91
Chapter Three. Structures of Semi-Abelian Schemes, pg. 143
Chapter Four. Theory of Degeneration for Polarized Abelian Schemes, pg. 175
Chapter Five. Degeneration Data for Additional Structures, pg. 285
Chapter Six. Algebraic Constructions of Toroidal Compactifications, pg. 373
Chapter Seven. Algebraic Constructions of Minimal Compactifications, pg. 447
Appendix A. Algebraic Spaces and Algebraic Stacks, pg. 487
Appendix B. Deformations and Artin’s Criterion, pg. 519
Bibliography, pg. 535
Index, pg. 545

Über Autor(innen)

Kai-Wen Lan is assistant professor of mathematics at the University of Minnesota.