On finiteness in differential equations and diophantine geometry:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2005
|
| Schriftenreihe: | CRM monograph series
24 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | IX, 182 S. graph. Darst. |
| ISBN: | 0821828053 |
Internformat
MARC
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| 245 | 1 | 0 | |a On finiteness in differential equations and diophantine geometry |c Dana Schlomiuk ... ed. |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2005 | |
| 300 | |a IX, 182 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a CRM monograph series |v 24 | |
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Analyse diophantienne | |
| 650 | 4 | |a Équations différentielles algébriques | |
| 650 | 4 | |a Differential-algebraic equations | |
| 650 | 4 | |a Diophantine analysis | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Foreword ;x
Chapter 1. Finiteness Problems in Differential Equations and Diophantine
Geometry
D. SCHLOMIUK 1
References 8
Chapter 2. Linear Differential Equations, Fuchsian Inequalities and
Multiplicities of Zeros
A. A. Bolibrukh 11
1. Introduction 11
2. Systems with regular singular points 12
3. Irregular singular points 22
4. Fuchsian inequalities 28
5. Multiplicities of zeroes 34
References 38
Chapter 3. Quantitative Theory of Ordinary Differential Equations and the
Tangential Hilbert 16th Problem
Sergei Yakovenko 41
1. Hilbert 16th problem: Limit cycles, cyclicity, Abelian integrals 41
2. Abelian integrals and differential equations 59
3. Quasialgebraicity of function fields 71
4. Quantitative theory of differential equations 82
5. Isomonodromic reduction principle and the Riemann Hilbert problem 95
References 106
Chapter 4. Around the Hilbert Arnol d Problem
V. Kaloshin 111
1. Around the Hilbert s 16th problem and an estimate for cyclicity of
elementary polycycles 111
2. Normal forms and the Khovanskh method 123
3. Stratifications and Bezout s theorem for chain maps 134
4. Bifurcation of spatial polycycles and blow up along the diagonal of the
space of multijets 146
References 158
Chapter 5. Finiteness Results in Differential Algebraic Geometry and
Diophantine Geometry
Alexandru Buium 163
1. Finiteness results in Diophantine geometry 163
vii
viii CONTENTS
2. Finiteness results in differential algebraic geometry 168
3. Discussion of the proofs 170
Conclusion 173
References 174
Appendix A. Abstract: o Minimal Structures, Real Analytic Geometry, and
Transseries
L. van den Dries 175
Appendix B. List of Lectures Delivered at the Workshop 177
Appendix C. Photographs of Some Workshop Participants 179
Appendix D. List of Participants 181
|
| adam_txt |
Contents
Foreword ;x
Chapter 1. Finiteness Problems in Differential Equations and Diophantine
Geometry
D. SCHLOMIUK 1
References 8
Chapter 2. Linear Differential Equations, Fuchsian Inequalities and
Multiplicities of Zeros
A. A. Bolibrukh 11
1. Introduction 11
2. Systems with regular singular points 12
3. Irregular singular points 22
4. Fuchsian inequalities 28
5. Multiplicities of zeroes 34
References 38
Chapter 3. Quantitative Theory of Ordinary Differential Equations and the
Tangential Hilbert 16th Problem
Sergei Yakovenko 41
1. Hilbert 16th problem: Limit cycles, cyclicity, Abelian integrals 41
2. Abelian integrals and differential equations 59
3. Quasialgebraicity of function fields 71
4. Quantitative theory of differential equations 82
5. Isomonodromic reduction principle and the Riemann Hilbert problem 95
References 106
Chapter 4. Around the Hilbert Arnol'd Problem
V. Kaloshin 111
1. Around the Hilbert's 16th problem and an estimate for cyclicity of
elementary polycycles 111
2. Normal forms and the Khovanskh method 123
3. Stratifications and Bezout's theorem for chain maps 134
4. Bifurcation of spatial polycycles and blow up along the diagonal of the
space of multijets 146
References 158
Chapter 5. Finiteness Results in Differential Algebraic Geometry and
Diophantine Geometry
Alexandru Buium 163
1. Finiteness results in Diophantine geometry 163
vii
viii CONTENTS
2. Finiteness results in differential algebraic geometry 168
3. Discussion of the proofs 170
Conclusion 173
References 174
Appendix A. Abstract: o Minimal Structures, Real Analytic Geometry, and
Transseries
L. van den Dries 175
Appendix B. List of Lectures Delivered at the Workshop 177
Appendix C. Photographs of Some Workshop Participants 179
Appendix D. List of Participants 181 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T13:17:28Z |
| indexdate | 2024-07-09T20:26:25Z |
| institution | BVB |
| isbn | 0821828053 |
| language | English |
| lccn | 2005049858 |
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| physical | IX, 182 S. graph. Darst. |
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| publisher | American Mathematical Society |
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| series2 | CRM monograph series |
| spelling | On finiteness in differential equations and diophantine geometry Dana Schlomiuk ... ed. Providence, R.I. American Mathematical Society 2005 IX, 182 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CRM monograph series 24 Includes bibliographical references Analyse diophantienne Équations différentielles algébriques Differential-algebraic equations Diophantine analysis Endlichkeit (DE-588)4152160-2 gnd rswk-swf Diophantische Geometrie (DE-588)4150021-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Endlichkeit (DE-588)4152160-2 s Diophantische Geometrie (DE-588)4150021-0 s b DE-604 Schlomiuk, Dana Sonstige oth CRM monograph series 24 (DE-604)BV007928388 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014165223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | On finiteness in differential equations and diophantine geometry CRM monograph series Analyse diophantienne Équations différentielles algébriques Differential-algebraic equations Diophantine analysis Endlichkeit (DE-588)4152160-2 gnd Diophantische Geometrie (DE-588)4150021-0 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4152160-2 (DE-588)4150021-0 (DE-588)4012249-9 |
| title | On finiteness in differential equations and diophantine geometry |
| title_auth | On finiteness in differential equations and diophantine geometry |
| title_exact_search | On finiteness in differential equations and diophantine geometry |
| title_exact_search_txtP | On finiteness in differential equations and diophantine geometry |
| title_full | On finiteness in differential equations and diophantine geometry Dana Schlomiuk ... ed. |
| title_fullStr | On finiteness in differential equations and diophantine geometry Dana Schlomiuk ... ed. |
| title_full_unstemmed | On finiteness in differential equations and diophantine geometry Dana Schlomiuk ... ed. |
| title_short | On finiteness in differential equations and diophantine geometry |
| title_sort | on finiteness in differential equations and diophantine geometry |
| topic | Analyse diophantienne Équations différentielles algébriques Differential-algebraic equations Diophantine analysis Endlichkeit (DE-588)4152160-2 gnd Diophantische Geometrie (DE-588)4150021-0 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Analyse diophantienne Équations différentielles algébriques Differential-algebraic equations Diophantine analysis Endlichkeit Diophantische Geometrie Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014165223&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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