Tangents and secants of algebraic varieties:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2005
|
| Ausgabe: | Reprinted |
| Schriftenreihe: | Translations of mathematical monographs
127 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | VII, 164 S. |
| ISBN: | 0821838377 0821845853 |
Internformat
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| 245 | 1 | 0 | |a Tangents and secants of algebraic varieties |c F. L. Zak |
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| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2005 | |
| 300 | |a VII, 164 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction
1
Chapter I. Theorem on Tangencies and Gauss Maps
15
§1.
Theorem on tangencies and its applications
15
§2.
Gauss maps of
projective
varieties
20
§3.
Subvarieties of complex tori
28
Chapter II. Projections of Algebraic Varieties
37
§1.
An existence criterion for good projections
37
§2.
Hartshorne s conjecture on linear normality and its relative
analogs
42
Chapter III. Varieties of Small Codimension Corresponding to Orbits
of Algebraic Groups
49
§1.
Orbits of algebraic groups, null-forms, and secant varieties
49
§2.
ЯК
-varieties of small codimension
55
§3.
ЯК
-varieties as
birational
images of
projective
spaces
66
Chapter IV.
Severi
Varieties
71
§1.
Reduction to the nonsingular case
71
§2.
Quadrics on
Severi
varieties
74
§3.
Dimension of
Severi
varieties
80
§4.
Classification theorems
85
§5.
Varieties of codegree three
91
Chapter V. Linear Systems of
Hyperplane
Sections on Varieties of
Small Codimension
105
§ 1.
Higher secant varieties
10 5
§2.
Maximal embeddings of varieties of small codimension
112
Chapter
VI. Scorza
Varieties
121
§ 1.
Properties of
Scorza
varieties
121
§2.
Scorza
varieties with
б
= 1 125
§3.
Scorza
varieties with
б
= 2 129
§4.
Scorza
varieties with
б
= 4 135
§5.
The end of the classification of
Scorza
varieties
149
References
155
Index of Notations
161
|
| adam_txt |
Contents
Introduction
1
Chapter I. Theorem on Tangencies and Gauss Maps
15
§1.
Theorem on tangencies and its applications
15
§2.
Gauss maps of
projective
varieties
20
§3.
Subvarieties of complex tori
28
Chapter II. Projections of Algebraic Varieties
37
§1.
An existence criterion for good projections
37
§2.
Hartshorne's conjecture on linear normality and its relative
analogs
42
Chapter III. Varieties of Small Codimension Corresponding to Orbits
of Algebraic Groups
49
§1.
Orbits of algebraic groups, null-forms, and secant varieties
49
§2.
ЯК
-varieties of small codimension
55
§3.
ЯК
-varieties as
birational
images of
projective
spaces
66
Chapter IV.
Severi
Varieties
71
§1.
Reduction to the nonsingular case
71
§2.
Quadrics on
Severi
varieties
74
§3.
Dimension of
Severi
varieties
80
§4.
Classification theorems
85
§5.
Varieties of codegree three
91
Chapter V. Linear Systems of
Hyperplane
Sections on Varieties of
Small Codimension
105
§ 1.
Higher secant varieties
10 5
§2.
Maximal embeddings of varieties of small codimension
112
Chapter
VI. Scorza
Varieties
121
§ 1.
Properties of
Scorza
varieties
121
§2.
Scorza
varieties with
б
= 1 125
§3.
Scorza
varieties with
б
= 2 129
§4.
Scorza
varieties with
б
= 4 135
§5.
The end of the classification of
Scorza
varieties
149
References
155
Index of Notations
161 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T14:38:05Z |
| indexdate | 2024-07-09T20:38:53Z |
| institution | BVB |
| isbn | 0821838377 0821845853 |
| language | English |
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| physical | VII, 164 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
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| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Zak, Fedor L. Verfasser aut Kasatel'nye i sekuščie algebraičeskich mnogoobrazij Tangents and secants of algebraic varieties F. L. Zak Reprinted Providence, RI American Math. Soc. 2005 VII, 164 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 127 Aus dem Russ. übers. Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 s DE-604 Translations of mathematical monographs 127 (DE-604)BV000002394 127 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014786078&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zak, Fedor L. Tangents and secants of algebraic varieties Translations of mathematical monographs Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
| subject_GND | (DE-588)4128509-8 |
| title | Tangents and secants of algebraic varieties |
| title_alt | Kasatel'nye i sekuščie algebraičeskich mnogoobrazij |
| title_auth | Tangents and secants of algebraic varieties |
| title_exact_search | Tangents and secants of algebraic varieties |
| title_exact_search_txtP | Tangents and secants of algebraic varieties |
| title_full | Tangents and secants of algebraic varieties F. L. Zak |
| title_fullStr | Tangents and secants of algebraic varieties F. L. Zak |
| title_full_unstemmed | Tangents and secants of algebraic varieties F. L. Zak |
| title_short | Tangents and secants of algebraic varieties |
| title_sort | tangents and secants of algebraic varieties |
| topic | Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
| topic_facet | Algebraische Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014786078&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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