Configuration Spaces over Hilbert Schemes and Applications [electronic resource] / by Danielle Dias, Patrick Barz.

By: Dias, Danielle [author.]Contributor(s): Barz, Patrick [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1647Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996Description: VIII, 144 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540496342Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online In: Springer eBooksSummary: The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses. This book should be of interest to graduate students and researchers in the field of algebraic geometry. The reader is expected to have some basic knowledge of enumerative algebraic geometry and pointwise Hilbert schemes.
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The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses. This book should be of interest to graduate students and researchers in the field of algebraic geometry. The reader is expected to have some basic knowledge of enumerative algebraic geometry and pointwise Hilbert schemes.

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