Real algebraic surfaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
[1989]
|
| Schriftenreihe: | Lecture notes in mathematics
1392 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001230895&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 209 - 215 |
| Umfang: | x, 215 Seiten Illustrationen |
| ISBN: | 3540515631 0387515631 |
Internformat
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| 100 | 1 | |a Silhol, Robert |4 aut | |
| 245 | 1 | 0 | |a Real algebraic surfaces |c Robert Silhol ; edited by A. Dold ; B. Eckmann |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c [1989] | |
| 264 | 4 | |c © 1989 | |
| 300 | |a x, 215 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1392 | |
| 500 | |a Literaturverz. S. 209 - 215 | ||
| 650 | 0 | 7 | |a Reelle algebraische Fläche |0 (DE-588)4222897-9 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Lecture notes in mathematics |v 1392 |w (DE-604)BV000676446 |9 1392 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1392 |
|---|---|
| DE-BY-TUM_katkey | 127121 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020541639 |
| _version_ | 1821940091848753152 |
| adam_text | TABLE OF CONTENTS
Introduction Ill
Prerequisites and notations VII
I. preliminaries on real algebraic varieties 1
1. Real structure on a complex algebraic variety 1
2. Galois action on cohomology and on the Hodge decomposition 9
3. Galois action on cohomology, the Smith sequence and the
Harnack Thom Krasnov inequalities 13
4. Real structures, divisors, Picard group and Chern classes. 19
Appendix to chapter I : Krasnov s results on Galois maximal
varieties 23
II. General results on real algebraic surfaces 27
1. Real structures and the cup product form 27
2. The Rokhlin Kharlamov Gudkov Krakhnov congruences for sur¬
faces 31
3. Bounds for the number of connected components and the
h1(X(R)) of a real algebraic surface 35
4. Examples of real algebraic surfaces where h1(X(K)) or the
number of connected components is maximum 40
5. Necessary conditions on a real surface for X(R) to be
empty 45
6. Real structure, birational transformations and blowing up. 49
IX
III. Algebraic cycles on real varieties and application to rational
surfaces 56
1. A bound for the dimension of H|lg(X(R) ,Z/2) 56
2. A lower bound for H|lg(X(IR),Z/2) and some computations.... 60
3. A conjecture of Colliot Thelene and Sansuc and H^lg(X(R),Z/2)
for rational surfaces 65
4. The topology of X(R) for a rational surface 1 69
IV. Digression on real Abelian varieties and classification of real
Abelian surfaces 75
1. Real structure on the Albanese and on the Picard variety.. 75
2. The period matrix associated to a real structure and the
albanese map 77
3. Real polarization on a real abelian variety 80
4. Real moduli for real principally polarized abelian varie¬
ties 85
5. Moduli spaces for real polarized abelian surfaces 91
V. Real Ruled surfaces 95
1. General properties of real fibred surfaces 95
2. Birational classification of real ruled surfaces 100
3. The real part of a ruled surface 105
4. An example of a non Galois Maximal real surface 107
VI. Rational real surfaces 109
1. Real forms of complex relatively minimal rational surfaces 109
2. Manin s classification of rational surfaces 110
3. Birational classification of real ruled rational surfaces. 114
X
4. Real Del Pezzo surfaces 124
5. Real quadric and cubic surfaces 132
6. Topology of the real part of a rational real surface II— 13 6
VII. Real elliptic surfaces 139
1. Local theory of real elliptic fibrations with a section... 139
2. Local theory of real elliptic fibrations : the case when
there is no section 157
3 . Examples 163
4. Global examples 168
Appendix to Chapter VII : Real hyperelliptic surfaces 174
VIII. Real K3 surfaces 178
1. Conditions for a K3 surface to be real and real Torelli
theorem 178
2. Moduli space for real K3 surfaces 182
3. Topology of the real part of a K3 surface and construction
of real K3 surfaces 188
4 . Real quartics in P3 193
Appendix to chapter VIII : Real Enriques surfaces 197
Glossary of notations 201
Index 204
Bibliography 209
|
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| discipline | Mathematik |
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| id | DE-604.BV001860834 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T07:42:44Z |
| institution | BVB |
| isbn | 3540515631 0387515631 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001230895 |
| oclc_num | 230982825 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-91G DE-BY-TUM DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 DE-11 |
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| physical | x, 215 Seiten Illustrationen |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Silhol, Robert Real algebraic surfaces Lecture notes in mathematics Reelle algebraische Fläche (DE-588)4222897-9 gnd |
| subject_GND | (DE-588)4222897-9 |
| title | Real algebraic surfaces |
| title_auth | Real algebraic surfaces |
| title_exact_search | Real algebraic surfaces |
| title_full | Real algebraic surfaces Robert Silhol ; edited by A. Dold ; B. Eckmann |
| title_fullStr | Real algebraic surfaces Robert Silhol ; edited by A. Dold ; B. Eckmann |
| title_full_unstemmed | Real algebraic surfaces Robert Silhol ; edited by A. Dold ; B. Eckmann |
| title_short | Real algebraic surfaces |
| title_sort | real algebraic surfaces |
| topic | Reelle algebraische Fläche (DE-588)4222897-9 gnd |
| topic_facet | Reelle algebraische Fläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001230895&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT silholrobert realalgebraicsurfaces AT dolda realalgebraicsurfaces AT eckmannb realalgebraicsurfaces |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1392
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |