Holdings: Introduction to singularities

Introduction to singularities:

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Bibliographic Details
Main Author:	Ishii, Shihoko (Author)
Format:	Electronic eBook
Language:	English
Published:	Tokyo Springer 2014
Subjects:	Singularität > Mathematik Electronic book text Einführung
Online Access:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Abstract
Physical Description:	1 Online-Ressource
ISBN:	9784431550808 9784431550815
DOI:	10.1007/978-4-431-55081-5

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MARC


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Record in the Search Index

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adam_text	INTRODUCTION TO SINGULARITIES / ISHII, SHIHOKO : 2014 ABSTRACT / INHALTSTEXT 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 METHODE POUR BIEN CONDUIRE SA RAISON, ET CHERCHER LA VERITE 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-DIM ENSIONAL 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 SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Ishii, Shihoko
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spelling	Ishii, Shihoko Verfasser (DE-588)1063112087 aut Introduction to singularities Shihoko Ishii Tokyo Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Electronic book text 1\p (DE-588)4151278-9 Einführung gnd-content Singularität Mathematik (DE-588)4077459-4 s 2\p DE-604 https://doi.org/10.1007/978-4-431-55081-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027661517&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Ishii, Shihoko Introduction to singularities Singularität Mathematik (DE-588)4077459-4 gnd
subject_GND	(DE-588)4077459-4 (DE-588)4151278-9
title	Introduction to singularities
title_auth	Introduction to singularities
title_exact_search	Introduction to singularities
title_full	Introduction to singularities Shihoko Ishii
title_fullStr	Introduction to singularities Shihoko Ishii
title_full_unstemmed	Introduction to singularities Shihoko Ishii
title_short	Introduction to singularities
title_sort	introduction to singularities
topic	Singularität Mathematik (DE-588)4077459-4 gnd
topic_facet	Singularität Mathematik Einführung
url	https://doi.org/10.1007/978-4-431-55081-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027661517&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ishiishihoko introductiontosingularities

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