Hilbert schemes of zero-dimensional subschemes of smooth varieties:
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Englisch |
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 |
Schlagwörter: | |
Links: | 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 |
Umfang: | 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) | |
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650 | 0 | 7 | |a Unterschema |0 (DE-588)4341080-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1572 |
---|---|
DE-BY-TUM_katkey | 613792 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040020544789 |
_version_ | 1821930916534026240 |
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- |
author_role | aut |
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 |
callnumber-sort | QA 13 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 850 |
classification_tum | MAT 147f |
ctrlnum | (OCoLC)844256197 (DE-599)BVBBV008877922 |
dewey-full | 510 516.3/53 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics 516 - Geometry |
dewey-raw | 510 516.3/53 |
dewey-search | 510 516.3/53 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV008877922 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T09:28:35Z |
institution | BVB |
isbn | 3540578145 0387578145 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005872334 |
oclc_num | 844256197 |
open_access_boolean | |
owner | DE-824 DE-20 DE-384 DE-29T DE-12 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
owner_facet | DE-824 DE-20 DE-384 DE-29T DE-12 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
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 |
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) Glatte Varietät (DE-588)4341079-0 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Unterschema (DE-588)4341080-7 gnd Hilbertsches Schema (DE-588)4159868-4 gnd Betti-Zahl (DE-588)4231040-4 gnd |
subject_GND | (DE-588)4341079-0 (DE-588)4301805-1 (DE-588)4341080-7 (DE-588)4159868-4 (DE-588)4231040-4 |
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) Glatte Varietät (DE-588)4341079-0 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Unterschema (DE-588)4341080-7 gnd Hilbertsches Schema (DE-588)4159868-4 gnd Betti-Zahl (DE-588)4231040-4 gnd |
topic_facet | Classes équationnelles Hilbert, Schémas de Hilbertreeksen Hilbert schemes Varieties (Universal algebra) Glatte Varietät Glattheit Mathematik Unterschema Hilbertsches Schema Betti-Zahl |
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 |
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 001z 2001 B 999-1572 Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |