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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Introduction to Singularities
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Introduction to Singularities
Shihoko Ishii (Gebundene Ausgabe, Englisch)
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Beschreibung
This book is an introduction to singularities for graduate students and researchers.It is said that algebraic geometry 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. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. 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. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
03.12.2014
Sprache
Englisch
Originalsprache
Japanisch
EAN
9784431550808
Herausgeber
Springer Tokyo
Titel in Originalsprache
Tokuiten Nyûmon
Sonderedition
Nein
Autor
Shihoko Ishii
Seitenanzahl
223
Einbandart
Gebundene Ausgabe
Schlagwörter
Resolution, Canonical divisors, Classification of singularities, Mixed Hodge structure, Singularities
Thema-Inhalt
PBMW - Algebraische Geometrie
PBF - Algebra
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
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