Algebraic geometry and singularities:
Saved in:
| Format: | Book |
|---|---|
| Language: | English French |
| Published: |
Basel [u.a.]
Birkhäuser
1996
|
| Series: | Progress in mathematics
134 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Text teilw. engl., teilw. franz. |
| Physical Description: | XXI, 407 S. |
| ISBN: | 3764353341 0817653341 |
Staff View
MARC
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| 245 | 1 | 0 | |a Algebraic geometry and singularities |c Antonio Campillo López, Luis Narváez Macarro, editors |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1996 | |
| 300 | |a XXI, 407 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 134 | |
| 500 | |a Text teilw. engl., teilw. franz. | ||
| 650 | 7 | |a Géométrie algébrique - Congrès |2 ram | |
| 650 | 4 | |a Geometry, Algebraic |v Congresses | |
| 650 | 4 | |a Singularities (Mathematics) |v Congresses | |
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Record in the Search Index
| _version_ | 1804124927512543232 |
|---|---|
| adam_text | Table of Contents
Introduction xi
Plenary Conferences xiii
Specialized Conferences xv
List of Participants xix
I Resolution of Singularities
Desingularisation en dimension 3 et caracteristique p
Vincent Cossart
1 Differentes notions de desingularisation 3
2 Premiere reduction 4
3 Deuxieme reduction, construction d un modele projectif .... 4
4 Troisieme reduction, birationncl devient projectif 5
5 Final: Morphismc projectif birationncl devient
desingularisation 5
Sur l espace des courbes tracees sur une singularite
G. Gonzalez Sprinberg M. Lejeune Jalabert
1 Introduction 9
2 Structure pro algebrique de l espace des courbes et
la fonction de M. Artin d une singularite 10
3 Families de courbes (selon J. Nash) et desingularisations .... 13
4 Courbes sur une singularite isolee d hypersurface 17
5 Courbes lisses sur une singularite de surface 22
6 Deux examples 27
Blowing up acyclic graphs and geometrical configurations
Carlos Marijuan
1 Introduction 33
2 Basic concepts and notations 34
3 Blowing up acyclic graphs 37
4 Graphic representation of the blowing up for a
geometric configuration 42
5 Geometric modification for acyclic graphs 46
vi Table of Contents
On a Newton polygon approach to the uniformization of
singularities of characteristic p
T. T. Moh
1 Introduction 49
2 Newton polygon and uniformization for T n — 1 53
3 Jumping lemma and Uniformization for t = n — 2 57
4 The classification of 3 dimensional singularities and
uniformization for A2 3 or A2 = 2, ir^ 2 64
5 Uniformization for A2 = 2 and vr^ = 1 74
6 Uniformization for A2 = 1 81
Geometry of plane curves via toroidal resolution
Mutsuo Oka
1 Introduction 95
2 Toric blowing up and a tower of toric blowing ups 95
3 Dual Newton diagram and an admissible toric blowing up . . . 100
4 Resolution complexity 102
5 Characteristic power and Puiseux Pairs 103
6 The Puiseux pairs of normal slice curves 106
7 Geometry of plane curves via a toroidal resolution 113
8 Iterated generic hyperplane section curves 118
Introduction to the algorithm of resolution
Orlando Villamayor U.
1 Introduction 123
2 Stating the problem of resolution of singularities 124
3 Auxiliary result: Idealistic pairs 128
4 Constructive resolutions 139
5 The language of groves and the problem of patching 148
6 Examples 149
II Complex Singularities and Differential Systems
Polarity with respect to a foliation
J. Garcia A. J. Reguera
1 Introduction 157
2 Preliminaries on linear systems 158
3 The polarity map 159
4 Pliicker s formula 162
5 The net of polars 166
6 Some calculus 168
Table of Contents vii
On moduli spaces of semiquasihomogeneous singularities
Gert Martin Greuel Gerhard Pfister
1 Introduction 171
2 Versal /x constant deformations and kernel
of Kodaira Spencer map 172
3 Existence of a geometric quotient for fixed Hilbcrt function
of the Tjurina algebra 177
4 The automorphism group of semi Brieskorn singularities .... 182
5 Problems 184
Stratification Properties of Constructible Sets
Zbigniew Hajto
1 Introduction 187
2 Grassmann blowing up 187
3 Analytically constructible sets 188
4 An application: the Henry Merle Proposition 190
5 Canonical stratification 195
On the linearization problem and some questions for webs in C2
Alain Henaut
1 Introduction in the form of a survey 197
2 Linearization of webs in (C2,0) 200
3 Geometry of the abelian relation space and the
linearization problem in the maximum rank case 202
4 Some questions on webs in C2 204
Globalization of Admissible Deformations
Theo de Jong
1 Introduction 209
2 Compactification 210
3 Globalization of deformations 211
Caracterisation geometrique de l existence du polynome
de Bernstein relatif
J. BRiANgoN Ph. Maisonobe
1 Polynome de Bernstein relatif 216
2 T xxT Module holonome regulier relativement coherent .... 223
Le Poly gone de Newton d un T x module
Z. Mebkhout
1 Introduction 237
2 Le cas d une variable 238
3 La categorie des faisceaux pervers 242
4 Le faisceau d irregularite et le cycle d irregularite 244
viii Table of Contents
5 La filtration du faisceau d irregularite 247
6 Le polygone de Newton d un Dx niodule 250
7 Sur l existence d une equation fonctionnelle reguliere 253
How good are real pictures?
David Mono
1 Introduction 259
2 Comparison of real and complex discriminants and images . . . 262
3 Codimension 1 germs 264
4 Good real forms and their perturbations 266
5 Bad real pictures 271
Weighted homogeneous complete intersections
C. T. C. Wall
1 Introduction 277
2 Notation 278
3 Ideals and C equivalence 281
4 Submodules 283
5 ^ equivalence 285
6 Combinatorial arguments 291
7 ^ equivalence 294
8 Other ground fields 298
III Curves and Surfaces
Degree 8 and genus 5 curves in P3 and the Horrocks Mumford bundle.
M. R. GONZALEZ DORREGO
1 Construction of curves of degree 8 and genus 5 on
a Kummer surface S G P3 303
2 Barth s Construction 305
3 A generic curve of degree 8 and genus 5 in P3 306
Irreducible Polynomials of fc((X))[Y]
A. Granja
1 Introduction 311
2 Reduction of the Problem 312
3 Some Maximal Ideals of k{X][Y] 313
4 Irreducibility Criterion for Monic Polynomials of fc|X|[Y] . . . 314
5 Some Ideas to Compute Vjn/2](P) 316
Table of Contents ix
Examples of Abelian Surfaces with Polarization type (1,3)
ISIDRO NlETO
1 Abstract 319
2 Introduction 319
3 Preliminaries 320
4 First examples: products of elliptic curves 321
5 The two dimensional families of T invariant quartic
surfaces 326
6 The Family TAE ¦ 329
7 The Family i 1^, i, 2) 334
8 The Family Tab C Tab 336
Semigroups and Clusters at Infinity
Ana Jose Reguera Lopez
1 Introduction 339
2 The concept of approximant 341
3 Curves associated to a semigroup 347
4 A family of examples 360
Cubic surfaces with double points in positive characteristic
Marko Rogzen
1 Introduction 375
2 Two characterizations of rational double points 375
3 Singularities and normal forms 378
On the classification of reducible curve singularities
Jan Stevens
1 Reducible curve singularities 384
2 Decomposable curves 385
3 Classification 392
4 Deformations and smoothings 401
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| id | DE-604.BV010494099 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:53:26Z |
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| series2 | Progress in mathematics |
| spelling | Algebraic geometry and singularities Antonio Campillo López, Luis Narváez Macarro, editors Basel [u.a.] Birkhäuser 1996 XXI, 407 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 134 Text teilw. engl., teilw. franz. Géométrie algébrique - Congrès ram Geometry, Algebraic Congresses Singularities (Mathematics) Congresses Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)1071861417 Konferenzschrift 1991 La Rábida gnd-content Algebraische Geometrie (DE-588)4001161-6 s Singularität Mathematik (DE-588)4077459-4 s DE-604 López, Antonio Campillo Sonstige oth Macarro, Luis Narváez Sonstige oth Progress in mathematics 134 (DE-604)BV000004120 134 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006992842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Algebraic geometry and singularities Progress in mathematics Géométrie algébrique - Congrès ram Geometry, Algebraic Congresses Singularities (Mathematics) Congresses Algebraische Geometrie (DE-588)4001161-6 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4077459-4 (DE-588)4143413-4 (DE-588)1071861417 |
| title | Algebraic geometry and singularities |
| title_auth | Algebraic geometry and singularities |
| title_exact_search | Algebraic geometry and singularities |
| title_full | Algebraic geometry and singularities Antonio Campillo López, Luis Narváez Macarro, editors |
| title_fullStr | Algebraic geometry and singularities Antonio Campillo López, Luis Narváez Macarro, editors |
| title_full_unstemmed | Algebraic geometry and singularities Antonio Campillo López, Luis Narváez Macarro, editors |
| title_short | Algebraic geometry and singularities |
| title_sort | algebraic geometry and singularities |
| topic | Géométrie algébrique - Congrès ram Geometry, Algebraic Congresses Singularities (Mathematics) Congresses Algebraische Geometrie (DE-588)4001161-6 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Géométrie algébrique - Congrès Geometry, Algebraic Congresses Singularities (Mathematics) Congresses Algebraische Geometrie Singularität Mathematik Aufsatzsammlung Konferenzschrift 1991 La Rábida |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006992842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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