Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III: 1886 (Lecture Notes in Mathematics, 1886) - Tapa blanda

Takamura, Shigeru

 
9783540333630: Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III: 1886 (Lecture Notes in Mathematics, 1886)
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ISBN 10: 3540333630 ISBN 13: 9783540333630
Editorial: Springer Berlin Heidelberg, 2010

Sinopsis

Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

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)

Reseña del editor

Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Berlin Heidelberg
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3540333630
ISBN 13 
9783540333630
Encuadernación
Tapa blanda
Número de páginas
608
Contacto del fabricante
no disponible
Persona responsable
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Alemania

Otras ediciones populares con el mismo título

9783540822615: Splitting Deformations of Degenerations of Complex Curves

Edición Destacada

ISBN 10:  3540822615 ISBN 13:  9783540822615
Editorial: Springer, 2008
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