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Carte Introduction to Singularities Shihoko Ishii

Introduction to Singularities

Autor: Shihoko Ishii
Limbă: engleză
Legare: Copertă tare
Editura: Springer Verlag, Japan
Disponibilitate: În depozitul extern în cantități mici
Expediem în 13-18 zile
530.25 lei
This book is an introduction to singularities for graduate students and researchers. Algebraic geom...

Informații despre carte

Autor
Shihoko Ishii
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2018
Pagini
236
EAN
9784431568360
ISBN
4431568360
Enbook ID
19360614
Editura
Springer Verlag, Japan
Greutate
526
Dimensiuni
241 x 160 x 22

Descriere completă

This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians' works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.

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