Algebraic Geometry and Singularities: 3rd International Conference on Algebraic Geometry : Revised Papers: v. 134 (Progress in Mathematics) - Hardcover

Hardcover

ISBN 10: 3764353341 ISBN 13: 9783764353346

Publisher: Birkhäuser, 1995

Synopsis

The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study~of singularities and its connections with differential systems and deformation or perturbation theo- ries. Two expository papers (Maisonobe-Briam;on, :'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he- ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per- turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one (~10nd) com- plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

About this title

Synopsis

The focus of this volume lies on singularity theory in algebraic geometry. It includes papers documenting developments and methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The papers are taken from the Third International Conference on Algebraic Geometry held in La Rabida, Spain, in December 1991, and offer an account of the state of the art in this field.

Edition details

• Publisher: Birkhäuser
• Publication date: 1995
• Language: English
• ISBN 10: 3764353341
• ISBN 13: 9783764353346
• Binding: Hardcover
• Number of pages: 407
• Editor: Campillo Lopez Antonio, Narvaez Macarro Luis