Holdings: On the geometry of some special projective varieties

On the geometry of some special projective varieties:

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Bibliographic Details
Main Author:	Russo, Francesco 1967- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham Springer [2016]
Series:	Lecture Notes of the Unione Matematica Italiana 18
Subjects:	Mathematics Algebraic geometry Commutative algebra Commutative rings Geometry Algebraic Geometry Commutative Rings and Algebras Mathematik Algebraische Geometrie Kommutativer Ring Kommutative Algebra
Online Access:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract Inhaltsverzeichnis
Physical Description:	1 Online Ressource (XXVI, 232 Seiten)
ISBN:	9783319267654
ISSN:	1862-9113
DOI:	10.1007/978-3-319-26765-4

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adam_text	ON THE GEOMETRY OF SOME SPECIAL PROJECTIVE VARIETIES / RUSSO, FRANCESCO : 2016 ABSTRACT / INHALTSTEXT PROVIDING AN INTRODUCTION TO BOTH CLASSICAL AND MODERN TECHNIQUES IN PROJECTIVE ALGEBRAIC GEOMETRY, THIS MONOGRAPH TREATS THE GEOMETRICAL PROPERTIES OF VARIETIES EMBEDDED IN PROJECTIVE SPACES, THEIR SECANT AND TANGENT LINES, THE BEHAVIOR OF TANGENT LINEAR SPACES, THE ALGEBRO-GEOMETRIC AND TOPOLOGICAL OBSTRUCTIONS TO THEIR EMBEDDING INTO SMALLER PROJECTIVE SPACES, AND THE CLASSIFICATION OF EXTREMAL CASES. IT ALSO PROVIDES A SOLUTION OF HARTSHORNE’S CONJECTURE ON COMPLETE INTERSECTIONS FOR THE CLASS OF QUADRATIC MANIFOLDS AND NEW SHORT PROOFS OF PREVIOUSLY KNOWN RESULTS, USING THE MODERN TOOLS OF MORI THEORY AND OF RATIONALLY CONNECTED MANIFOLDS. THE NEW APPROACH TO SOME OF THE PROBLEMS CONSIDERED CAN BE RESUMED IN THE PRINCIPLE THAT, INSTEAD OF STUDYING A SPECIAL EMBEDDED MANIFOLD UNIRULED BY LINES, ONE PASSES TO ANALYZE THE ORIGINAL GEOMETRICAL PROPERTY ON THE MANIFOLD OF LINES PASSING THROUGH A GENERAL POINT AND CONTAINED IN THE MANIFOLD. ONCE THIS EMBEDDED MANIFOLD, USUALLY OF LOWER CODIMENSION, IS CLASSIFIED, ONE TRIES TO RECONSTRUCT THE ORIGINAL MANIFOLD, FOLLOWING A PRINCIPLE APPEARING ALSO IN OTHER AREAS OF GEOMETRY SUCH AS PROJECTIVE DIFFERENTIAL GEOMETRY OR COMPLEX GEOMETRY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ON THE GEOMETRY OF SOME SPECIAL PROJECTIVE VARIETIES / RUSSO, FRANCESCO : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE.-INTRODUCTION 1.TANGENT CONES, TANGENT SPACES, TANGENT STARS; SECANT, TANGENT AND TANGENT STAR VARIETIES TO AN ALGEBRAIC VARIETY 2.BASICS OF DEFORMATION THEORY OF RATIONAL CURVES ON PROJECTIVE VARIETIES 3.FULTON-HANSEN CONNECTEDNESS THEOREM, SCORZA LEMMA AND THEIR APPLICATIONS TO PROJECTIVE GEOMETRY 4.LOCAL QUADRATIC ENTRY LOCUS MANIFOLDS AND CONIC CONNECTED MANIFOLDS 5.HARTSHORNE CONJECTURES AND SEVERI VARIETIES 6.VARIETIES N-COVERED BY CURVES OF A FIXED DEGREE AND THE XJC 7. HYPERSURFACES WITH VANISHING HESSIAN.-BIBLIOGRAPHY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Russo, Francesco 1967-
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spelling	Russo, Francesco 1967- Verfasser (DE-588)1082799181 aut On the geometry of some special projective varieties Francesco Russo Cham Springer [2016] © 2016 1 Online Ressource (XXVI, 232 Seiten) txt rdacontent c rdamedia cr rdacarrier Lecture Notes of the Unione matematica Italiana 18 1862-9113 Mathematics Algebraic geometry Commutative algebra Commutative rings Geometry Algebraic Geometry Commutative Rings and Algebras Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Kommutative Algebra (DE-588)4164821-3 s Kommutativer Ring (DE-588)4164825-0 s 1\p DE-604 Erscheint auch als 978-3-319-26764-7 Druck-Ausgabe Lecture Notes of the Unione Matematica Italiana 18 (DE-604)BV035421262 18 https://doi.org/10.1007/978-3-319-26765-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826448&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826448&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Russo, Francesco 1967- On the geometry of some special projective varieties Lecture Notes of the Unione Matematica Italiana Mathematics Algebraic geometry Commutative algebra Commutative rings Geometry Algebraic Geometry Commutative Rings and Algebras Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Kommutativer Ring (DE-588)4164825-0 gnd Kommutative Algebra (DE-588)4164821-3 gnd
subject_GND	(DE-588)4001161-6 (DE-588)4164825-0 (DE-588)4164821-3
title	On the geometry of some special projective varieties
title_auth	On the geometry of some special projective varieties
title_exact_search	On the geometry of some special projective varieties
title_full	On the geometry of some special projective varieties Francesco Russo
title_fullStr	On the geometry of some special projective varieties Francesco Russo
title_full_unstemmed	On the geometry of some special projective varieties Francesco Russo
title_short	On the geometry of some special projective varieties
title_sort	on the geometry of some special projective varieties
topic	Mathematics Algebraic geometry Commutative algebra Commutative rings Geometry Algebraic Geometry Commutative Rings and Algebras Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Kommutativer Ring (DE-588)4164825-0 gnd Kommutative Algebra (DE-588)4164821-3 gnd
topic_facet	Mathematics Algebraic geometry Commutative algebra Commutative rings Geometry Algebraic Geometry Commutative Rings and Algebras Mathematik Algebraische Geometrie Kommutativer Ring Kommutative Algebra
url	https://doi.org/10.1007/978-3-319-26765-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028826448&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=028826448&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035421262
work_keys_str_mv	AT russofrancesco onthegeometryofsomespecialprojectivevarieties

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MARC

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