Holdings: Birational geometry, rational curves, and arithmetic

Birational geometry, rational curves, and arithmetic:

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Bibliographic Details
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Series:	Simons symposia
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461464815 9781461464822
DOI:	10.1007/978-1-4614-6482-2

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MARC


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adam_text	BIRATIONAL GEOMETRY, RATIONAL CURVES, AND ARITHMETIC / : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS FOREWORD INTRODUCTION.-A. BERTRAM AND I. COSKUN, THE BIRATIONAL GEOMETRY OF THE HILBERT SCHEME OF POINTS ON SURFACES F. BOGOMOLOV AND CH. BOEHNING, ISOCLINISM AND STABLE COHOMOLOGY OF WREATH PRODUCTS F. BOGOMOLOV, I. KARZHEMANOV, AND K. KUYUMZHIYAN, UNIRATIONALITY AND EXISTENCE OF INFINITELY TRANSITIVE MODELS I. CHELTSOV, L. KATZARKOV, AND V. PRZYJALKOWSKI, BIRATIONAL GEOMETRY VIA MODULI SPACES O. DEBARRE, CURVES OF LOW DEGREES ON PROJECTIVE VARIETIES S. KEBEKUS, UNIRULEDNESS CRITERIA AND APPLICATIONS S. KOVACS, THE CONE OF CURVES OF K3 SURFACES REVISITED V. LAZIC, AROUND AND BEYOND THE CANONICAL CLASS C. LIEDTKE, ALGEBRAIC SURFACES IN POSITIVE CHARACTERISTIC A. VARILLY-ALVARADO, ARITHMETIC OF DEL PEZZO SURFACES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. BIRATIONAL GEOMETRY, RATIONAL CURVES, AND ARITHMETIC / : 2013 ABSTRACT / INHALTSTEXT THIS BOOK FEATURES RECENT DEVELOPMENTS IN A RAPIDLY GROWING AREA AT THE INTERFACE OF HIGHER-DIMENSIONAL BIRATIONAL GEOMETRY AND ARITHMETIC GEOMETRY. IT FOCUSES ON THE GEOMETRY OF SPACES OF RATIONAL CURVES, WITH AN EMPHASIS ON APPLICATIONS TO ARITHMETIC QUESTIONS. CLASSICALLY, ARITHMETIC IS THE STUDY OF RATIONAL OR INTEGRAL SOLUTIONS OF DIOPHANTINE EQUATIONS AND GEOMETRY IS THE STUDY OF LINES AND CONICS. FROM THE MODERN STANDPOINT, ARITHMETIC IS THE STUDY OF RATIONAL AND INTEGRAL POINTS ON ALGEBRAIC VARIETIES OVER NONCLOSED FIELDS. A MAJOR INSIGHT OF THE 20TH CENTURY WAS THAT ARITHMETIC PROPERTIES OF AN ALGEBRAIC VARIETY ARE TIGHTLY LINKED TO THE GEOMETRY OF RATIONAL CURVES ON THE VARIETY AND HOW THEY VARY IN FAMILIES. THIS COLLECTION OF SOLICITED SURVEY AND RESEARCH PAPERS IS INTENDED TO SERVE AS AN INTRODUCTION FOR GRADUATE STUDENTS AND RESEARCHERS INTERESTED IN ENTERING THE FIELD, AND AS A SOURCE OF REFERENCE FOR EXPERTS WORKING ON RELATED PROBLEMS. TOPICS THAT WILL BE ADDRESSED INCLUDE: BIRATIONAL PROPERTIES SUCH AS RATIONALITY, UNIRATIONALITY, AND RATIONAL CONNECTEDNESS, EXISTENCE OF RATIONAL CURVES IN PRESCRIBED HOMOLOGY CLASSES, CONES OF RATIONAL CURVES ON RATIONALLY CONNECTED AND CALABI-YAU VARIETIES, AS WELL AS RELATED QUESTIONS WITHIN THE FRAMEWORK OF THE MINIMAL MODEL PROGRAM DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed. New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Simons symposia Bogomolov, Fedor A. 1946- Sonstige (DE-588)129921637 oth https://doi.org/10.1007/978-1-4614-6482-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Birational geometry, rational curves, and arithmetic
title	Birational geometry, rational curves, and arithmetic
title_auth	Birational geometry, rational curves, and arithmetic
title_exact_search	Birational geometry, rational curves, and arithmetic
title_full	Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed.
title_fullStr	Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed.
title_full_unstemmed	Birational geometry, rational curves, and arithmetic Fedor Bogomolov ..., ed.
title_short	Birational geometry, rational curves, and arithmetic
title_sort	birational geometry rational curves and arithmetic
url	https://doi.org/10.1007/978-1-4614-6482-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026054848&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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