Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III: Lecture Notes in Mathematics, cartea 1886
Autor Shigeru Takamuraen Limba Engleză Paperback – 26 iul 2006
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Specificații
ISBN-13: 9783540333630
ISBN-10: 3540333630
Pagini: 612
Ilustrații: XII, 594 p. 123 illus.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.84 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540333630
Pagini: 612
Ilustrații: XII, 594 p. 123 illus.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.84 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
Basic Notions and Ideas.- Splitting Deformations of Degenerations.- What is a barking?.- Semi-Local Barking Deformations: Ideas and Examples.- Global Barking Deformations: Ideas and Examples.- Deformations of Tubular Neighborhoods of Branches.- Deformations of Tubular Neighborhoods of Branches (Preparation).- Construction of Deformations by Tame Subbranches.- Construction of Deformations of type Al.- Construction of Deformations by Wild Subbranches.- Subbranches of Types Al, Bl, Cl.- Construction of Deformations of Type Bl.- Construction of Deformations of Type Cl.- Recursive Construction of Deformations of Type Cl.- Types Al, Bl, and Cl Exhaust all Cases.- Construction of Deformations by Bunches of Subbranches.- Barking Deformations of Degenerations.- Construction of Barking Deformations (Stellar Case).- Simple Crusts (Stellar Case).- Compound barking (Stellar Case).- Deformations of Tubular Neighborhoods of Trunks.- Construction of Barking Deformations (Constellar Case).- Further Examples.- Singularities of Subordinate Fibers near Cores.- Singularities of Fibers around Cores.- Arrangement Functions and Singularities, I.- Arrangement Functions and Singularities, II.- Supplement.- Classification of Atoms of Genus ? 5.- Classification Theorem.- List of Weighted Crustal Sets for Singular Fibers of Genus ? 5.
Recenzii
From the reviews:
"This is a 590 pages book on deformation theory, using mostly topological methods, but also ‘translated’ to algebraic geometry and using algebraic methods. … It is a nice level and should be possible to read. Most commonly, algebraic geometers translate from differential geometry to solve problems. In this book the concept is vice versa: Algebraic methods are used to solve topological problems. Thus this book may at the first glance look elementary for an algebraist, but it is not." (Arvid Siqveland, Zentralblatt MATH, Vol. 1100 (2), 2007)
"This is a 590 pages book on deformation theory, using mostly topological methods, but also ‘translated’ to algebraic geometry and using algebraic methods. … It is a nice level and should be possible to read. Most commonly, algebraic geometers translate from differential geometry to solve problems. In this book the concept is vice versa: Algebraic methods are used to solve topological problems. Thus this book may at the first glance look elementary for an algebraist, but it is not." (Arvid Siqveland, Zentralblatt MATH, Vol. 1100 (2), 2007)
Caracteristici
Includes supplementary material: sn.pub/extras