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Algebraic Curves and Surfaces: A History of Shapes /
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Catalogue Information
Field name
Details
Dewey Class
512
Title
Algebraic Curves and Surfaces (EBook :) : A History of Shapes / / by Laurent Busé, Fabrizio Catanese, Elisa Postinghel.
Author
Busé, Laurent
Added Personal Name
Catanese, Fabrizio
Postinghel, Elisa
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2023.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2023.
Physical Details
XIV, 205 p. 14 illus., 13 illus. in color. : online resource.
Series
SISSA Springer Series
2524-8588 ; ; 4
ISBN
9783031241512
Summary Note
This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfaces (also with a view to higher dimensional varieties) from different aspects: the historical development that led to the theory of algebraic surfaces and the classification theorem of algebraic surfaces by Castelnuovo and Enriques; the use of such a classical geometric approach, as the one introduced by Castelnuovo, to study linear systems of hypersurfaces; and the algebraic methods used to find implicit equations of parametrized algebraic curves and surfaces, ranging from classical elimination theory to more modern tools involving syzygy theory and Castelnuovo-Mumford regularity. Since our subject has a long and venerable history, this book cannot cover all the details of this broad topic, theory and applications, but it is meant to serve as a guide for both young mathematicians to approach the subject from a classical and yet computational perspective, and for experienced researchers as a valuable source for recent applications.:
Mode of acces to digital resource
Digital reproduction.-
Cham :
Springer International Publishing,
2023. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-031-24151-2
Links to Related Works
Subject References:
Algebra
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Algebraic Geometry
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Authors:
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Busé, Laurent
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Catanese, Fabrizio
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Postinghel, Elisa
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Corporate Authors:
SpringerLink (Online service)
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Series:
SISSA Springer Series
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Classification:
512
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