On the geometry of some special projective varieties:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2016]
|
| Schriftenreihe: | Lecture Notes of the Unione Matematica Italiana
18 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (XXVI, 232 Seiten) |
| ISBN: | 9783319267654 |
| ISSN: | 1862-9113 |
| DOI: | 10.1007/978-3-319-26765-4 |
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Datensatz im Suchindex
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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.
|
| any_adam_object | 1 |
| author | Russo, Francesco 1967- |
| author_GND | (DE-588)1082799181 |
| author_facet | Russo, Francesco 1967- |
| author_role | aut |
| author_sort | Russo, Francesco 1967- |
| author_variant | f r fr |
| building | Verbundindex |
| bvnumber | BV043408102 |
| classification_rvk | SK 380 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)936861371 (DE-599)BVBBV043408102 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-26765-4 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:25:10Z |
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| isbn | 9783319267654 |
| issn | 1862-9113 |
| language | English |
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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 |