This conference proceedings volume contains survey and research articles on topics of current interest written by leading international experts. The topic of the symposium was ``Interactions of Algebraic Geometry, Hodge Theory, and Logarithmic Geometry from the Viewpoint of Degenerations''. The book contains four surveys on 1) pencils of algebraic curves by T. Ashikaga and K. Konno; 2) integral $p$-adic Hodge theory by C. Breuil; 3) Hodge-Arakelov theory of elliptic curves by S.Mochizuki; and 4) refined cycle maps by S. Saito. Also included are two results by Gabber on absolute purity theorem written by K. Fujiwara and research articles on the Picard-Lefschetz formula by L. Illusie, moduli spaces of rational elliptic surfaces by G. Heckman and E. Looijenga, moduli of curves ofgenus 4 by S. Kondo, and logarithmic Hodge theory by K. Kato, C. Nakayama, and S. Usui and its application to geometry by S. Saito. The volume is intended for researchers interested in algebraic geometry, particularly in the study of families of algebraic varieties and Hodge structures. Information for our distributors: Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.
During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume...
Proceedings of the Algebraic Geometry Seminar, Singapore 1987: 3-6 November 1987, National University of Singapore
In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to...
This volume gives a nice summary of current work in the theory of 1-motives. The authors present the following: Let $X$ be an $n$-dimensional algebraic variety over a field of...
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in...
Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory...
The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic varieties. This volume grew out...
Distinguished researchers reveal the way different subjects (topology, differential and algebraic geometry and mathematical physics) interact in a text based on LMS Durham Symposium Lectures.
Linear Problems and Convexity Techniques in Geometric Function Theory
As in the preceding volumes of this seminar, one finds here fifteen survey lectures on topics of current interest: two lectures on algebraic geometry, three on partial differential equations, one...