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Algebra and Geometry
This volume presents the proceedings from a conference held at the National Taiwan University. The conference brought together specialists in mathematical physics, algebraic geometry, differential geometry, algebra and number theory from five Pacific Rim countries. Included are articles by S.-T. Yau, V. Kac, M. P. Murthy, Shing-Tung Yau, and other leading specialists.
Degeneration of Abelian Varieties
A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the first time. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables, together with a new approach to Siegel modular forms. A valuable source of reference for researchers and graduate students interested in algebraic geometry, Shimura varieties or diophantine geometry.
Complex Multiplication and Lifting Problems
Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of many fundamental results and concepts...
Selected Papers
Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published
Compactification of Siegel Moduli Schemes
The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).
Selected Papers
Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published
Arithmetic Geometry
Based on survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Gottingen, this tile is intended for graduate students and recent PhD's. It introduces readers to modern techniques and conjectures at the interface of number theory and algebraic geometry.
Smooth Compactifications of Locally Symmetric Varieties
The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.
Arithmetic Geometry
This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs. This volume contains expanded versions of almost all the instructional lectures given during the conference. In addition to these expository lectures, this volume contains a translation into English of Falt ings' seminal paper which provided the inspiration for the conference. We thank Professor Faltings for his permission to publish the translation and Edward Shipz who did the translation. We thank all the people who spoke at the Storrs conference, both for helping to make it a successful meeting and enabling us to pub...
The Practice of Sleep Medicine Around The World: Challenges, Knowledge Gaps and Unique Needs
This book explores the different ways sleep medicine is practiced in the world by presenting information from multiple countries from all continents. The editors, all sleep medicine experts, dive into both clinical practice, and research keeping an eye on healthcare needs and disparities, before proposing solutions. The contributions also take into account the social, geographical and political situation of each country, along with demographic considerations such as income levels, adding a dimension of context to the contents. The book is meant to be a reference for sleep medicine practitioners who encounter diverse patients in their daily practice. It also serves as a good resource for anyone interested in the state of global health studies.
