Holonomic D-modules with Betti structure:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Paris
Soc. Math. de France
2014
|
| Schriftenreihe: | Mémoires de la la SMF
138/139 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Literaturverz. S. [197] - 201 |
| Beschreibung: | VIII, 205 S. |
| ISBN: | 9782856297919 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV042248762 | ||
| 003 | DE-604 | ||
| 005 | 20150803 | ||
| 007 | t | ||
| 008 | 141219s2014 |||| 00||| eng d | ||
| 020 | |a 9782856297919 |9 978-2-85629-791-9 | ||
| 035 | |a (OCoLC)898506789 | ||
| 035 | |a (DE-599)OBVAC12134659 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 |a DE-824 |a DE-19 |a DE-83 |a DE-29T | ||
| 084 | |a SI 690 |0 (DE-625)143167: |2 rvk | ||
| 084 | |a 32C38 |2 msc | ||
| 084 | |a 14F10 |2 msc | ||
| 100 | 1 | |a Mochizuki, Takuro |d 1972- |e Verfasser |0 (DE-588)138166021 |4 aut | |
| 245 | 1 | 0 | |a Holonomic D-modules with Betti structure |c Takuro Mochizuki |
| 264 | 1 | |a Paris |b Soc. Math. de France |c 2014 | |
| 300 | |a VIII, 205 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mémoires de la la SMF |v 138/139 | |
| 500 | |a Literaturverz. S. [197] - 201 | ||
| 546 | |a Zsfassung in engl. und franz. Sprache | ||
| 650 | 0 | 7 | |a D-Modul |0 (DE-588)4305548-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | 1 | |a D-Modul |0 (DE-588)4305548-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Mémoires de la la SMF |v 138/139 |w (DE-604)BV000000921 |9 138/139 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027686777 | ||
Datensatz im Suchindex
| _version_ | 1804152793769967616 |
|---|---|
| adam_text | CONTENTS
1.
Introduction
........................................................ 1
1.1.
Pre-
Betti
structure
............................................... 2
1.2.
Betti
structure
in the one dimensional case
...................... 2
1.3.
Betti
structure in the higher dimensional ca.se
.................... 4
1.4.
Main goal
........................................................ 8
Î
.5.
Acknowledgement
................................................ 10
2.
Preliminary
........................................................ 11
2.1.
Notation and words
.............................................. 11
2.2.
Beilinson s construction
.......................................... 17
3.
Good hoionomic V-modules and their
de Rham
complexes
.. 25
3.1.
Good hoionomic D-modules
:„ .-* ...,.*....«...
^
.................... 25
3.2.
De
Rham complexes
............................................. 36
^íi.rv-í ^ · ?
■
:.чг··
v·- · *·
· ,> .
-í*,
· . ■.■■ ■ ·
4»
Some sheaves on the real blow up
—........................... 43
4.1.
Holomorphic functions
.........
Г.
............................... 43
4.2.
C^-functions
.................................................... 47
4.3.
Nilsson
type functions
............................................ 54
4.4.
Push-forward
..................................................... 65
4.5.
Characterization by growth order
................................ 69
4.6.
Flatness of the sheaf of holomorphic functions with moderate
growth
........................................................... 79
4.7.
Push-forward of good P-moduies and real blow up
............... 82
5.
Complexes on the real blow up associated to good meromorphic
flat bundles
......................................................... 87
5.1.
De Rham
complexes
............................................. 87
5.2.
Duality
........................................................... 97
viii CONTENTS
5.3.
Functoriality
.....................................................101
5.4.
A rigidity property (Appendix)
..................................103
6.
Good if-structure
.................................................
Ill
6.1.
Good meromorphic flat bundles
..................................
Ill
6.2.
Good holonomic P-modules with good ir-structure (Local case)
. 119
6.3.
Good pre-K -holonomic P-modules
...............................122
6.4.
Meromorphic fiat connections with good /^-structure
............129
6.5.
Preliminary for push-forward
.....................................138
7.
K-holonomic D-modules
..........................................143
7.1.
Preliminary
......................................................143
7.2.
ir-Betti structure
................................................146
7.3.
K(*D)-Betti structure
...........................................151
8.
Functoriality properties
..........................................157
8.1.
Statements
.......................................................157
8.2.
Step
1 ............................................................158
8.3.
Step
2 ............................................................161
8.4.
Some resolutions
.................................................166
8.5.
Step
3 ............................................................170
9.
Derived category of algebraic
Ä-holonomic D-
modules
..........................................175
9.1.
Standard exact functors
..........................................175
9.2.
Push-forward and pull-back
......................................177
9.3.
Tensor product and inner homomorphism
........................186
9.4.
/^-structure of the space of morphisms
...........................187
Bibliography
..........................................................197
Index
...................................................................203
MÉMOIRES DE LA
SMF
138/139
We define the notion of
Betti
structure for holonomic P-modules which
axe not necessarily regular singular. We establish the fundamental
fune-
torial properties. We also give auxiliary analysis of holomorphic functions
of various types on the real blow up.
Nous définissons
la notion
de
structure
Betti
pour
les P-modules
holo-
nomes qui ne sont pas nécessairement singuliers réguliers. Nous établis¬
sons leurs propriétés fonctorielles principales. Nous donnons également
une analyse supplémentaire des fonctions
holomorphes de
divers types
sur l éclatement réel.
|
| any_adam_object | 1 |
| author | Mochizuki, Takuro 1972- |
| author_GND | (DE-588)138166021 |
| author_facet | Mochizuki, Takuro 1972- |
| author_role | aut |
| author_sort | Mochizuki, Takuro 1972- |
| author_variant | t m tm |
| building | Verbundindex |
| bvnumber | BV042248762 |
| classification_rvk | SI 690 |
| ctrlnum | (OCoLC)898506789 (DE-599)OBVAC12134659 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01918nam a2200421 cb4500</leader><controlfield tag="001">BV042248762</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150803 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">141219s2014 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9782856297919</subfield><subfield code="9">978-2-85629-791-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)898506789</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)OBVAC12134659</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 690</subfield><subfield code="0">(DE-625)143167:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">32C38</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14F10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mochizuki, Takuro</subfield><subfield code="d">1972-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)138166021</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Holonomic D-modules with Betti structure</subfield><subfield code="c">Takuro Mochizuki</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Paris</subfield><subfield code="b">Soc. Math. de France</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 205 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mémoires de la la SMF</subfield><subfield code="v">138/139</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. [197] - 201</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">Zsfassung in engl. und franz. Sprache</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">D-Modul</subfield><subfield code="0">(DE-588)4305548-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">D-Modul</subfield><subfield code="0">(DE-588)4305548-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mémoires de la la SMF</subfield><subfield code="v">138/139</subfield><subfield code="w">(DE-604)BV000000921</subfield><subfield code="9">138/139</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027686777</subfield></datafield></record></collection> |
| id | DE-604.BV042248762 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:16:22Z |
| institution | BVB |
| isbn | 9782856297919 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027686777 |
| oclc_num | 898506789 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-83 DE-29T |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-83 DE-29T |
| physical | VIII, 205 S. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Soc. Math. de France |
| record_format | marc |
| series | Mémoires de la la SMF |
| series2 | Mémoires de la la SMF |
| spelling | Mochizuki, Takuro 1972- Verfasser (DE-588)138166021 aut Holonomic D-modules with Betti structure Takuro Mochizuki Paris Soc. Math. de France 2014 VIII, 205 S. txt rdacontent n rdamedia nc rdacarrier Mémoires de la la SMF 138/139 Literaturverz. S. [197] - 201 Zsfassung in engl. und franz. Sprache D-Modul (DE-588)4305548-5 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Differentialoperator (DE-588)4012251-7 s D-Modul (DE-588)4305548-5 s DE-604 Mémoires de la la SMF 138/139 (DE-604)BV000000921 138/139 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Mochizuki, Takuro 1972- Holonomic D-modules with Betti structure Mémoires de la la SMF D-Modul (DE-588)4305548-5 gnd Differentialoperator (DE-588)4012251-7 gnd |
| subject_GND | (DE-588)4305548-5 (DE-588)4012251-7 |
| title | Holonomic D-modules with Betti structure |
| title_auth | Holonomic D-modules with Betti structure |
| title_exact_search | Holonomic D-modules with Betti structure |
| title_full | Holonomic D-modules with Betti structure Takuro Mochizuki |
| title_fullStr | Holonomic D-modules with Betti structure Takuro Mochizuki |
| title_full_unstemmed | Holonomic D-modules with Betti structure Takuro Mochizuki |
| title_short | Holonomic D-modules with Betti structure |
| title_sort | holonomic d modules with betti structure |
| topic | D-Modul (DE-588)4305548-5 gnd Differentialoperator (DE-588)4012251-7 gnd |
| topic_facet | D-Modul Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027686777&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000921 |
| work_keys_str_mv | AT mochizukitakuro holonomicdmoduleswithbettistructure |