De Rham cohomology of differential modules on algebraic varieties:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2001
|
| Series: | Progress in mathematics
189 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 214 S.: 24 cm |
| ISBN: | 3764363487 9783764363482 |
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MARC
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| 100 | 1 | |a André, Yves |d 1959- |e Verfasser |0 (DE-588)142060895 |4 aut | |
| 245 | 1 | 0 | |a De Rham cohomology of differential modules on algebraic varieties |c Yves André ; Francesco Baldassarri |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a VII, 214 S.: 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 189 | |
| 650 | 4 | |a Algèbre différentielle | |
| 650 | 4 | |a Homologie | |
| 650 | 7 | |a Homologische algebra |2 gtt | |
| 650 | 4 | |a Modules (Algèbre) | |
| 650 | 4 | |a Differential algebra | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Modules (Algebra) | |
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
1 Regularity in several variables 1
§1 Geometric models of divisorially valued function fields 2
§2 Logarithmic differential operators 11
§3 Connections regular along a divisor. 15
§4 Extensions with logarithmic poles 22
§5 Regular connections: the global case 29
§6 Exponents 32
Appendix A: A letter of Ph. Robba (Nov. 2, 1984) 40
Appendix B: Models and log schemes 42
2 Irregularity in several variables . 49
§ 1 Spectral norms 51
§2 The generalized Poincare Katz rank of irregularity 57
§3 Some consequences of the Turrittin Levelt Hukuhara theorem 69
§4 Newton polygons 73
§5 Stratification of the singular locus by Newton polygons 79
§6 Formal decomposition of an integrable connection
at a singular divisor. 85
§7 Cyclic vectors, indicial polynomials
and tubular neighborhoods 97
3 Direct images (the Gauss Manin connection) 103
§ 1 Elementary fibrations 105
§2 Review of connections and De Rham cohomology 110
§3 Devissage 117
§4 Generic finiteness of direct images 123
§5 Generic base change for direct images 128
§6 Coherence of the cokernel of a regular connection 132
§7 Regularity and exponents of the cokernel
of a regular connection 138
§8 Proof of the main theorems: finiteness, regularity,
monodromy, base change (in the regular case) 140
Appendix C: Berthelot s comparison theorem on
Ox vs. £ x linear duals 142
Appendix D: Introduction to Dwork s algebraic dual theory 146
4 Complex and p adic comparison theorems 171
§ 1 Review of analytic connections and
De Rham cohomology 172
§2 Abstract comparison criteria 175
§3 Comparison theorem for algebraic vs.
complex analytic cohomology 177
iv Table of Contents
§4 Comparison theorem for algebraic vs. rigid analytic
cohomology (regular coefficients) 182
§5 Rigid analytic comparison theorem
in relative dimension one 184
§6 Comparison theorem for algebraic vs. rigid analytic
cohomology (irregular coefficients) 192
§7 The relative non archimedean Turrittin theorem 202
Appendix E: Riemann s existence theorem in
higher dimension, an elementary approach 206
References 209
|
| any_adam_object | 1 |
| author | André, Yves 1959- Baldassarri, Francesco 1951- |
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| dewey-ones | 514 - Topology |
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| id | DE-604.BV013230599 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:42:09Z |
| institution | BVB |
| isbn | 3764363487 9783764363482 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009017258 |
| oclc_num | 44425479 |
| open_access_boolean | |
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| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-703 DE-11 |
| physical | VII, 214 S.: 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | André, Yves 1959- Verfasser (DE-588)142060895 aut De Rham cohomology of differential modules on algebraic varieties Yves André ; Francesco Baldassarri Basel [u.a.] Birkhäuser 2001 VII, 214 S.: 24 cm txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 189 Algèbre différentielle Homologie Homologische algebra gtt Modules (Algèbre) Differential algebra Homology theory Modules (Algebra) Differentialmodul (DE-588)4397443-0 gnd rswk-swf DeRham-Komplex (DE-588)4617507-6 gnd rswk-swf Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf DeRham-Komplex (DE-588)4617507-6 s Differentialmodul (DE-588)4397443-0 s Algebraische Varietät (DE-588)4581715-7 s DE-604 Baldassarri, Francesco 1951- Verfasser (DE-588)1077542771 aut Progress in mathematics 189 (DE-604)BV000004120 189 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | André, Yves 1959- Baldassarri, Francesco 1951- De Rham cohomology of differential modules on algebraic varieties Progress in mathematics Algèbre différentielle Homologie Homologische algebra gtt Modules (Algèbre) Differential algebra Homology theory Modules (Algebra) Differentialmodul (DE-588)4397443-0 gnd DeRham-Komplex (DE-588)4617507-6 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| subject_GND | (DE-588)4397443-0 (DE-588)4617507-6 (DE-588)4581715-7 |
| title | De Rham cohomology of differential modules on algebraic varieties |
| title_auth | De Rham cohomology of differential modules on algebraic varieties |
| title_exact_search | De Rham cohomology of differential modules on algebraic varieties |
| title_full | De Rham cohomology of differential modules on algebraic varieties Yves André ; Francesco Baldassarri |
| title_fullStr | De Rham cohomology of differential modules on algebraic varieties Yves André ; Francesco Baldassarri |
| title_full_unstemmed | De Rham cohomology of differential modules on algebraic varieties Yves André ; Francesco Baldassarri |
| title_short | De Rham cohomology of differential modules on algebraic varieties |
| title_sort | de rham cohomology of differential modules on algebraic varieties |
| topic | Algèbre différentielle Homologie Homologische algebra gtt Modules (Algèbre) Differential algebra Homology theory Modules (Algebra) Differentialmodul (DE-588)4397443-0 gnd DeRham-Komplex (DE-588)4617507-6 gnd Algebraische Varietät (DE-588)4581715-7 gnd |
| topic_facet | Algèbre différentielle Homologie Homologische algebra Modules (Algèbre) Differential algebra Homology theory Modules (Algebra) Differentialmodul DeRham-Komplex Algebraische Varietät |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT andreyves derhamcohomologyofdifferentialmodulesonalgebraicvarieties AT baldassarrifrancesco derhamcohomologyofdifferentialmodulesonalgebraicvarieties |