Hilbert schemes of zero-dimensional subschemes of smooth varieties:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1994
|
| Schriftenreihe: | Lecture notes in mathematics
1572 Lecture notes in mathematics Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn 19 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 196 S. |
| ISBN: | 3540578145 0387578145 |
Internformat
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| 245 | 1 | 0 | |a Hilbert schemes of zero-dimensional subschemes of smooth varieties |c Lothar Göttsche |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a VIII, 196 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1572 | |
| 490 | 1 | |a Lecture notes in mathematics / Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |v 19 | |
| 650 | 4 | |a Classes équationnelles | |
| 650 | 4 | |a Hilbert, Schémas de | |
| 650 | 7 | |a Hilbertreeksen |2 gtt | |
| 650 | 4 | |a Hilbert schemes | |
| 650 | 4 | |a Varieties (Universal algebra) | |
| 650 | 0 | 7 | |a Glattheit |g Mathematik |0 (DE-588)4301805-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Betti-Zahl |0 (DE-588)4231040-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Glatte Varietät |0 (DE-588)4341079-0 |2 gnd |9 rswk-swf |
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| 689 | 1 | 1 | |a Unterschema |0 (DE-588)4341080-7 |D s |
| 689 | 1 | 2 | |a Hilbertsches Schema |0 (DE-588)4159868-4 |D s |
| 689 | 1 | 3 | |a Betti-Zahl |0 (DE-588)4231040-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1572 |w (DE-604)BV000676446 |9 1572 | |
| 830 | 0 | |a Lecture notes in mathematics |p Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |v 19 |w (DE-604)BV005628488 |9 19 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005872334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805082764798590976 |
|---|---|
| adam_text |
Contents
Introduction v
1. Fundamental facts 1
1.1. The Hilbert scheme 1
1.2. The Weil conjectures 5
1.3. The punctual Hilbert scheme 9
2. Computation of the Betti numbers of Hilbert schemes 12
2.1. The local structure of Xfy 14
2.2. A cell decomposition of P^*1, Hilbn(.R), Zr, GT 19
2.3. Computation of the Betti numbers of S'1*' for a smooth surface S . 29
2.4. The Betti numbers of higher order Kummer varieties 40
2.5. The Betti numbers of varieties of triangles 60
3. The varieties of second and higher order data 81
3.1. The varieties of second order data 82
3.2. Varieties of higher order data and applications 101
3.3. Semple bundles and the formula for contacts with lines 128
4. The Chow ring of relative Hilbert schemes
of projective bundles 145
4.1. n very ampleness, embeddings of the Hilbert scheme and the
structure of Aln(P(E)) 146
4.2. Computation of the Chow ring of Hilb (P2) 154
4.3. The Chow ring of HiibS(P(£)/X) 160
4.4. The Chow ring of Eilb3(P(E)/X) 173
Bibliography 184
Index 192
Index of notations 194 |
| any_adam_object | 1 |
| author | Göttsche, Lothar 1961- |
| author_GND | (DE-588)172701007 |
| author_facet | Göttsche, Lothar 1961- |
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| author_sort | Göttsche, Lothar 1961- |
| author_variant | l g lg |
| building | Verbundindex |
| bvnumber | BV008877922 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
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| classification_rvk | SI 850 |
| classification_tum | MAT 147f |
| ctrlnum | (OCoLC)844256197 (DE-599)BVBBV008877922 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
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| dewey-search | 516.3/53 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008877922 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:37:51Z |
| institution | BVB |
| isbn | 3540578145 0387578145 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005872334 |
| oclc_num | 844256197 |
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| physical | VIII, 196 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics Lecture notes in mathematics Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |
| series2 | Lecture notes in mathematics Lecture notes in mathematics / Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |
| spelling | Göttsche, Lothar 1961- Verfasser (DE-588)172701007 aut Hilbert schemes of zero-dimensional subschemes of smooth varieties Lothar Göttsche Berlin [u.a.] Springer 1994 VIII, 196 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1572 Lecture notes in mathematics / Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn 19 Classes équationnelles Hilbert, Schémas de Hilbertreeksen gtt Hilbert schemes Varieties (Universal algebra) Glattheit Mathematik (DE-588)4301805-1 gnd rswk-swf Betti-Zahl (DE-588)4231040-4 gnd rswk-swf Glatte Varietät (DE-588)4341079-0 gnd rswk-swf Unterschema (DE-588)4341080-7 gnd rswk-swf Hilbertsches Schema (DE-588)4159868-4 gnd rswk-swf Glattheit Mathematik (DE-588)4301805-1 s Hilbertsches Schema (DE-588)4159868-4 s DE-604 Glatte Varietät (DE-588)4341079-0 s Unterschema (DE-588)4341080-7 s Betti-Zahl (DE-588)4231040-4 s Lecture notes in mathematics 1572 (DE-604)BV000676446 1572 Lecture notes in mathematics Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn 19 (DE-604)BV005628488 19 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005872334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Göttsche, Lothar 1961- Hilbert schemes of zero-dimensional subschemes of smooth varieties Lecture notes in mathematics Lecture notes in mathematics Subseries Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn Classes équationnelles Hilbert, Schémas de Hilbertreeksen gtt Hilbert schemes Varieties (Universal algebra) Glattheit Mathematik (DE-588)4301805-1 gnd Betti-Zahl (DE-588)4231040-4 gnd Glatte Varietät (DE-588)4341079-0 gnd Unterschema (DE-588)4341080-7 gnd Hilbertsches Schema (DE-588)4159868-4 gnd |
| subject_GND | (DE-588)4301805-1 (DE-588)4231040-4 (DE-588)4341079-0 (DE-588)4341080-7 (DE-588)4159868-4 |
| title | Hilbert schemes of zero-dimensional subschemes of smooth varieties |
| title_auth | Hilbert schemes of zero-dimensional subschemes of smooth varieties |
| title_exact_search | Hilbert schemes of zero-dimensional subschemes of smooth varieties |
| title_full | Hilbert schemes of zero-dimensional subschemes of smooth varieties Lothar Göttsche |
| title_fullStr | Hilbert schemes of zero-dimensional subschemes of smooth varieties Lothar Göttsche |
| title_full_unstemmed | Hilbert schemes of zero-dimensional subschemes of smooth varieties Lothar Göttsche |
| title_short | Hilbert schemes of zero-dimensional subschemes of smooth varieties |
| title_sort | hilbert schemes of zero dimensional subschemes of smooth varieties |
| topic | Classes équationnelles Hilbert, Schémas de Hilbertreeksen gtt Hilbert schemes Varieties (Universal algebra) Glattheit Mathematik (DE-588)4301805-1 gnd Betti-Zahl (DE-588)4231040-4 gnd Glatte Varietät (DE-588)4341079-0 gnd Unterschema (DE-588)4341080-7 gnd Hilbertsches Schema (DE-588)4159868-4 gnd |
| topic_facet | Classes équationnelles Hilbert, Schémas de Hilbertreeksen Hilbert schemes Varieties (Universal algebra) Glattheit Mathematik Betti-Zahl Glatte Varietät Unterschema Hilbertsches Schema |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005872334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 (DE-604)BV005628488 |
| work_keys_str_mv | AT gottschelothar hilbertschemesofzerodimensionalsubschemesofsmoothvarieties |