Resolution of singularities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Math. Soc.
2004
|
| Schriftenreihe: | Graduate studies in mathematics
63 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 186 S. |
| ISBN: | 0821835556 9780821835555 |
Internformat
MARC
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| 100 | 1 | |a Cutkosky, Steven Dale |e Verfasser |0 (DE-588)1070878626 |4 aut | |
| 245 | 1 | 0 | |a Resolution of singularities |c Steven Dale Cutkosky |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2004 | |
| 300 | |a VIII, 186 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate studies in mathematics |v 63 | |
| 650 | 7 | |a Singularidades (topologia diferencial) |2 larpcal | |
| 650 | 4 | |a Singularités (Mathématiques) | |
| 650 | 4 | |a Singularities (Mathematics) | |
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| 651 | 7 | |a AnÉis E Álgebras Comutativos |2 larpcal | |
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| 830 | 0 | |a Graduate studies in mathematics |v 63 |w (DE-604)BV009739289 |9 63 | |
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Datensatz im Suchindex
| _version_ | 1804132784005971968 |
|---|---|
| adam_text | Contents
Preface
vii
Chapter
1.
Introduction
1
§1.1.
Notation
2
Chapter
2.
Non-singularity and Resolution of Singularities
3
§2.1.
Newton s method for determining the branches of a plane
curve
3
§2.2.
Smoothness and non-singularity
7
§2.3.
Resolution of singularities
9
§2.4.
Normalization
10
§2.5.
Local uniformization and generalized resolution problems
11
Chapter
3.
Curve Singularities
17
§3.1.
Blowing up a point on A2
17
§3.2.
Completion
22
§3.3.
Blowing up a point on a non-singular surface
25
§3.4.
Resolution of curves embedded in a non-singular surface I
26
§3.5.
Resolution of curves embedded in a non-singular surface II
29
Chapter
4.
Resolution Type Theorems
37
§4.1.
Blow-ups of ideals
37
§4.2.
Resolution type theorems and corollaries
40
Chapter
5.
Surface Singularities
45
§5.1.
Resolution of surface singularities
45
§5.2.
Embedded resolution of singularities
56
Chapter
6.
Resolution of Singularities in Characteristic Zero
61
§6.1.
The operator
Δ
and other preliminaries
62
§6.2.
Hypersurfaces of maximal contact and induction in resolution
66
§6.3.
Pairs and basic objects
70
§6.4.
Basic objects and hypersurfaces of maximal contact
75
§6.5.
General basic objects
81
§6.6.
Functions on a general basic object
83
§6.7.
Resolution theorems for a general basic object
89
§6.8.
Resolution of singularities in characteristic zero
99
Chapter
7.
Resolution of Surfaces in Positive Characteristic
105
§7.1.
Resolution and some invariants
105
§7.2.
r(q) = 2
109
§7.3.
r(q)
= 1 113
§7.4.
Remarks and further discussion
130
Chapter
8.
Local Uniformization and Resolution of Surfaces
133
§8.1.
Classification of valuations in function fields of dimension
2 133
§8.2.
Local uniformization of algebraic function fields of surfaces
137
§8.3.
Resolving systems and the Zariski-Riemann manifold
148
Chapter
9.
Ramification of Valuations and Simultaneous Resolution
155
Appendix. Smoothness and Non-singularity II
163
§A.l. Proofs of the basic theorems
163
§A.2. Non-singularity and uniformizing parameters
169
§A.3.
Higher derivations
171
§A.4. Upper semi-continuity of vq{T)
174
Bibliography
179
Index
185
|
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| dewey-full | 516.3/5 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 516.35 |
| dewey-search | 516.3/5 516.35 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019353039 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:58:19Z |
| institution | BVB |
| isbn | 0821835556 9780821835555 |
| language | English |
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| physical | VIII, 186 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Cutkosky, Steven Dale Verfasser (DE-588)1070878626 aut Resolution of singularities Steven Dale Cutkosky Providence, R.I. American Math. Soc. 2004 VIII, 186 S. txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 63 Singularidades (topologia diferencial) larpcal Singularités (Mathématiques) Singularities (Mathematics) Auflösung von Singularitäten (DE-588)4181537-3 gnd rswk-swf AnÉis E Álgebras Comutativos larpcal Auflösung von Singularitäten (DE-588)4181537-3 s b DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-2106-9 Graduate studies in mathematics 63 (DE-604)BV009739289 63 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012817052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cutkosky, Steven Dale Resolution of singularities Graduate studies in mathematics Singularidades (topologia diferencial) larpcal Singularités (Mathématiques) Singularities (Mathematics) Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| subject_GND | (DE-588)4181537-3 |
| title | Resolution of singularities |
| title_auth | Resolution of singularities |
| title_exact_search | Resolution of singularities |
| title_full | Resolution of singularities Steven Dale Cutkosky |
| title_fullStr | Resolution of singularities Steven Dale Cutkosky |
| title_full_unstemmed | Resolution of singularities Steven Dale Cutkosky |
| title_short | Resolution of singularities |
| title_sort | resolution of singularities |
| topic | Singularidades (topologia diferencial) larpcal Singularités (Mathématiques) Singularities (Mathematics) Auflösung von Singularitäten (DE-588)4181537-3 gnd |
| topic_facet | Singularidades (topologia diferencial) Singularités (Mathématiques) Singularities (Mathematics) Auflösung von Singularitäten AnÉis E Álgebras Comutativos |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012817052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009739289 |
| work_keys_str_mv | AT cutkoskystevendale resolutionofsingularities |