Ebook: Algebraic Geometry and Singularities

The focus of this volume lies on singularity theory in algebraic geometry. It includes papers documenting recent and original developments and methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The papers originate from the Third International Conference on Algebraic Geometry held in La Rábida, Spain, in December 1991. Since then, the articles have undergone a meticulous process of refereeing and improvement, and they have been organized into a comprehensive account of the state of the art in this field.

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The focus of this volume lies on singularity theory in algebraic geometry. It includes papers documenting recent and original developments and methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The papers originate from the Third International Conference on Algebraic Geometry held in La R?bida, Spain, in December 1991. Since then, the articles have undergone a meticulous process of refereeing and improvement, and they have been organized into a comprehensive account of the state of the art in this field.

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The focus of this volume lies on singularity theory in algebraic geometry. It includes papers documenting recent and original developments and methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The papers originate from the Third International Conference on Algebraic Geometry held in La R?bida, Spain, in December 1991. Since then, the articles have undergone a meticulous process of refereeing and improvement, and they have been organized into a comprehensive account of the state of the art in this field.

Content:
Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Sur L’espace Des Courses Trac?es Sur Une Singularit?....Pages 3-7
Blowing Up Acyclic Graphs and Geometrical Configurations....Pages 9-32
Geometry of Plane Curves via Toroidal Resolution....Pages 33-48
Introduction to the Algorithm of Resolution....Pages 49-93
Front Matter....Pages 95-121
Polarity with Respect to a Foliation....Pages 123-154
On Moduli Spaces of Semiquasihomogeneous Singularities....Pages 155-155
Stratification Properties of Constructible Sets....Pages 157-170
Globalization of Admissible Deformations....Pages 171-185
Caract?risation g?om?trique de l’existence du polyn?me de Bernstein relatif....Pages 187-196
How good are real pictures?....Pages 197-207
Weighted Homogeneous Complete Intersections....Pages 209-213
Front Matter....Pages 215-236
Degree 8 and Genus 5 Curves in ?3 and The Horrocks-Mumford Bundle....Pages 237-258
Irreducible Polynomials of k((X))[Y]....Pages 259-276
Examples of Abelian Surfaces with Polarization Type (1,3)....Pages 277-300
Semigroups and Clusters at Infinity....Pages 301-301
Cubic Surfaces with Double Points in Positive Characteristic....Pages 303-310
On The Classification of Reducible Curve Singularities....Pages 311-317
....Pages 319-337