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Algebraic curves and surfaces: a history of shapes

Algebraic curves and surfaces: a history of shapes
Catalogue Information
Field name Details
Dewey Class 512
Title Algebraic curves and surfaces (M) : a history of shapes / Laurent Busé, Fabrizio Catanese, Elisa Postinghel
Author Busé, Laurent
Added Personal Name Catanese, Fabrizio
Postinghel, Elisa
Publication Cham : Springer , 2023
Physical Details xiv, 205 pages : ill. ; 24 cm.
Series SISSA Springer Series ; 4
ISBN 9783031241505
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. Provided by publisher:
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Catalogue Information 53480 Beginning of record . Catalogue Information 53480 Top of page .
Item Information
Barcode Shelf Location Collection Volume Ref. Branch Status Due Date
0000000044756 512.77 BUS c.1
General   SISSA . . Available .  
0000000044757 512.77 BUS c.2
General   SISSA . . Available .  
. Catalogue Record 53480 ItemInfo Beginning of record . Catalogue Record 53480 ItemInfo Top of page .

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