Rigid geometry of curves and their Jacobians:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham, Heidelberg, New York, Dordrecht, London
Springer
[2016]
|
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
volume 61 |
| Subjects: | |
| Online Access: | Abstract |
| Physical Description: | xviii, 386 Seiten |
| ISBN: | 9783319273693 9783319273716 |
Staff View
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Record in the Search Index
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| adam_text | RIGID GEOMETRY OF CURVES AND THEIR JACOBIANS
/ LUETKEBOHMERT, WERNER
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS SOME OF THE MOST IMPORTANT ASPECTS OF RIGID GEOMETRY,
NAMELY ITS APPLICATIONS TO THE STUDY OF SMOOTH ALGEBRAIC CURVES, OF
THEIR JACOBIANS, AND OF ABELIAN VARIETIES - ALL OF THEM DEFINED OVER A
COMPLETE NON-ARCHIMEDEAN VALUED FIELD. THE TEXT STARTS WITH A SURVEY OF
THE FOUNDATION OF RIGID GEOMETRY, AND THEN FOCUSES ON A DETAILED
TREATMENT OF THE APPLICATIONS. IN THE CASE OF CURVES WITH SPLIT RATIONAL
REDUCTION THERE IS A COMPLETE ANALOGUE TO THE FASCINATING THEORY OF
RIEMANN SURFACES. IN THE CASE OF PROPER SMOOTH GROUP VARIETIES THE
UNIFORMIZATION AND THE CONSTRUCTION OF ABELIAN VARIETIES ARE TREATED IN
DETAIL. RIGID GEOMETRY WAS ESTABLISHED BY JOHN TATE AND WAS ENRICHED BY
A FORMAL ALGEBRAIC APPROACH LAUNCHED BY MICHEL RAYNAUD. IT HAS PROVED AS
A MEANS TO ILLUSTRATE THE GEOMETRIC IDEAS BEHIND THE ABSTRACT METHODS OF
FORMAL ALGEBRAIC GEOMETRY AS USED BY MUMFORD AND FALTINGS. THIS BOOK
SHOULD BE OF GREAT USE TO STUDENTS WISHING TO ENTER THIS FIELD, AS WELL
AS THOSE ALREADY WORKING IN IT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Lütkebohmert, Werner |
| author_GND | (DE-588)124615163 |
| author_facet | Lütkebohmert, Werner |
| author_role | aut |
| author_sort | Lütkebohmert, Werner |
| author_variant | w l wl |
| building | Verbundindex |
| bvnumber | BV043407454 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)940550119 (DE-599)BVBBV043407454 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043407454 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:25:08Z |
| institution | BVB |
| isbn | 9783319273693 9783319273716 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028825804 |
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| physical | xviii, 386 Seiten |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge |
| spelling | Lütkebohmert, Werner Verfasser (DE-588)124615163 aut Rigid geometry of curves and their Jacobians Werner Lütkebohmert Cham, Heidelberg, New York, Dordrecht, London Springer [2016] © 2016 xviii, 386 Seiten txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge volume 61 Algebraische Varietät (DE-588)4581715-7 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s Algebraische Varietät (DE-588)4581715-7 s DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-319-27371-6 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge volume 61 (DE-604)BV000899194 61 Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028825804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Lütkebohmert, Werner Rigid geometry of curves and their Jacobians Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge Algebraische Varietät (DE-588)4581715-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| subject_GND | (DE-588)4581715-7 (DE-588)4001165-3 |
| title | Rigid geometry of curves and their Jacobians |
| title_auth | Rigid geometry of curves and their Jacobians |
| title_exact_search | Rigid geometry of curves and their Jacobians |
| title_full | Rigid geometry of curves and their Jacobians Werner Lütkebohmert |
| title_fullStr | Rigid geometry of curves and their Jacobians Werner Lütkebohmert |
| title_full_unstemmed | Rigid geometry of curves and their Jacobians Werner Lütkebohmert |
| title_short | Rigid geometry of curves and their Jacobians |
| title_sort | rigid geometry of curves and their jacobians |
| topic | Algebraische Varietät (DE-588)4581715-7 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| topic_facet | Algebraische Varietät Algebraische Kurve |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028825804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000899194 |
| work_keys_str_mv | AT lutkebohmertwerner rigidgeometryofcurvesandtheirjacobians |