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Compactification of Siegel Moduli Schemes
About this book
The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms.
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Yes, you can access Compactification of Siegel Moduli Schemes by Ching-Li Chai in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Series Page
- Title
- Table of Contents
- INTRODUCTI ON
- CHAPTER I REVIEW OF THE SIEGEL MODULI SCHEMES
- CHAPTER II ANALYTIC QUOTIENT CONSTRUCTION OF FAMILIES OF DEGENERATING ABELIAN VARIETIES
- CHAPTER III TEST FAMILIES AS COORDINATES AT THE BOUNDARY
- CHAPTER IV PROPAGATION OF TAl'S THEOREM TO POSITIVE CHARACTERISTICS
- CHAPTER V APPLICATION TO SIEGEL MODULAR FORMS
- APPENDIX I NON-SYMMETRIC THETA CONSTANTS
- APPENDIX II ALGEBRAIC THETA FUNCTIONS WITH VALUES IN COMPLETE LOCAL FIELDS AND THEIR APPLICATIONS
- APPENDIX III STRATIFICATION OF THETA CLOSURE
- BIBLIOGRAPHY
- Index
- Untitled