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The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory of Paolo Francia (1951-2000) held in Genova in September 2001 with about 70 participants.

Geometry, Algebraic. --- Algebraic geometry --- Geometry

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This book is the proceedings of the conference "Algebraic Geometry in East Asia" which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry.

Geometry, Algebraic --- Geometry

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Group theory --- Algebraic geometry

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Ordered algebraic structures --- Algebraic varieties --- Varietes algebriques --- 515.14 --- -Varieties, Algebraic --- Geometry, Algebraic --- Linear algebraic groups --- Algebraic topology --- Classification theory --- -Algebraic topology --- 515.14 Algebraic topology --- -515.14 Algebraic topology --- Varieties, Algebraic --- Classification theory of algebraic varieties --- Algebraic geometry. --- Algebraic Geometry. --- Algebraic geometry --- Geometry

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This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concept

Rings (Algebra) --- Algebraic rings --- Ring theory --- Algebraic fields