Flat rank two vector bundles on genus two curves:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2019]
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 259, number 1247 (fourth of 8 numbers) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | v, 103 Seiten |
| ISBN: | 9781470435660 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV046056557 | ||
| 003 | DE-604 | ||
| 005 | 20210921 | ||
| 007 | t | ||
| 008 | 190719s2019 |||| 00||| eng d | ||
| 020 | |a 9781470435660 |9 978-1-4704-3566-0 | ||
| 035 | |a (OCoLC)1110062438 | ||
| 035 | |a (DE-599)BVBBV046056557 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-355 |a DE-29T |a DE-11 | ||
| 084 | |a 14H60 |2 msc | ||
| 084 | |a 34Mxx |2 msc | ||
| 084 | |a 32G34 |2 msc | ||
| 100 | 1 | |a Heu, Viktoria |4 aut | |
| 245 | 1 | 0 | |a Flat rank two vector bundles on genus two curves |c Viktoria Heu ; Frank Loray |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a v, 103 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 259, number 1247 (fourth of 8 numbers) | |
| 650 | 0 | 7 | |a Holomorphes Vektorraumbündel |0 (DE-588)4160483-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolisch entartete Differentialgleichung |0 (DE-588)4173244-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Holomorphes Vektorraumbündel |0 (DE-588)4160483-0 |D s |
| 689 | 0 | 1 | |a Parabolisch entartete Differentialgleichung |0 (DE-588)4173244-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Loray, Frank |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v volume 259, number 1247 (fourth of 8 numbers) |w (DE-604)BV008000141 |9 1247 | |
| 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=031437960&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-031437960 | ||
Datensatz im Suchindex
| _version_ | 1804180328186642432 |
|---|---|
| adam_text | Contents Introduction 1 Chapter 1. Preliminaries on connections 1.1. Logarithmic connections 1.2. Twists and trace 1.3. Projective connections and Riccati foliations 1.4. Parabolic structures 1.5. Elementary transformations 1.6. Stability and moduli spaces 7 7 7 8 8 8 10 Chapter 2. Hyperelliptic correspondence 2.1. Topological considerations 2.2. A direct algebraic approach 11 12 16 Chapter 3. Flat vector bundles over X 3.1. Flatness criterion 3.2. Semi-stable bundles and the Narasimhan-Ramanan theorem 3.3. Semi-stable decomposable bundles 3.4. Semi-stable indecomposable bundles 3.5. Unstable and indecomposable: the 6 + 10 Gunning bundles 3.6. Computation of a system of coordinates 19 19 20 21 24 26 28 Chapter 4. Anticanonical subbundles 4.1. Tyurin subbundles 4.2. Extensions of the canonical bundle 4.3. Tyurin parametrization 35 35 42 43 Chapter 5. Flat parabolic vector bundles over the quotient X/l 49 5.1. Flatness criterion 49 5.2. Dictionary: how special bundles on X occur as special bundles on X/l 51 5.3. Semi-stable bundles and projective charts 58 5.4. Moving weights and wall-crossing phenomena 65 5.5. Galois and Geiser involutions 69 5.6. Summary: the moduli stack íBim(A) 70 Chapter 6. The moduli stack Sýiggs(X) and the Hitchin fibration 6.1. A Poincaré family on the 2-fold cover Sjíqqs(X/l) 6.2. The Hitchin fibration 6.3. Explicit Hitchin Hamiltonians on 5јгддѕ(ХД) 6.4. Explicit Hitchin Hamiltonians on fjiøøs(A՜) 6.5. Comparison to existing formulae ІІІ 73 74 75 76 77 80
CONTENTS Chapter 7. The modlili stack Cľon(X) 7.1. An explicit atlas 7.2. The apparent map on £оп(ХД) 7.3. A Lagrangian section of Glon(Aľ) — 23un(X) 83 83 86 87 Chapter 8. Application to isomonodromic deformations 8.1. Darboux coordinates 8.2. Hamiltonian system 8.3. Transversality to the locus of Gunning bundles 8.4. Projective structures and Hejhal’s theorem 93 93 94 95 98 Bibliography 101
|
| any_adam_object | 1 |
| author | Heu, Viktoria Loray, Frank |
| author_facet | Heu, Viktoria Loray, Frank |
| author_role | aut aut |
| author_sort | Heu, Viktoria |
| author_variant | v h vh f l fl |
| building | Verbundindex |
| bvnumber | BV046056557 |
| ctrlnum | (OCoLC)1110062438 (DE-599)BVBBV046056557 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01780nam a2200409 cb4500</leader><controlfield tag="001">BV046056557</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210921 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">190719s2019 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470435660</subfield><subfield code="9">978-1-4704-3566-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1110062438</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046056557</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14H60</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34Mxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">32G34</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Heu, Viktoria</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Flat rank two vector bundles on genus two curves</subfield><subfield code="c">Viktoria Heu ; Frank Loray</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">v, 103 Seiten</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">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 259, number 1247 (fourth of 8 numbers)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Holomorphes Vektorraumbündel</subfield><subfield code="0">(DE-588)4160483-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parabolisch entartete Differentialgleichung</subfield><subfield code="0">(DE-588)4173244-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Holomorphes Vektorraumbündel</subfield><subfield code="0">(DE-588)4160483-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Parabolisch entartete Differentialgleichung</subfield><subfield code="0">(DE-588)4173244-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Loray, Frank</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">volume 259, number 1247 (fourth of 8 numbers)</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">1247</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=031437960&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-031437960</subfield></datafield></record></collection> |
| id | DE-604.BV046056557 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:34:01Z |
| institution | BVB |
| isbn | 9781470435660 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031437960 |
| oclc_num | 1110062438 |
| open_access_boolean | |
| owner | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| owner_facet | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| physical | v, 103 Seiten |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Heu, Viktoria aut Flat rank two vector bundles on genus two curves Viktoria Heu ; Frank Loray Providence, Rhode Island American Mathematical Society [2019] © 2019 v, 103 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 259, number 1247 (fourth of 8 numbers) Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd rswk-swf Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd rswk-swf Holomorphes Vektorraumbündel (DE-588)4160483-0 s Parabolisch entartete Differentialgleichung (DE-588)4173244-3 s DE-604 Loray, Frank aut Memoirs of the American Mathematical Society volume 259, number 1247 (fourth of 8 numbers) (DE-604)BV008000141 1247 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=031437960&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heu, Viktoria Loray, Frank Flat rank two vector bundles on genus two curves Memoirs of the American Mathematical Society Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd |
| subject_GND | (DE-588)4160483-0 (DE-588)4173244-3 |
| title | Flat rank two vector bundles on genus two curves |
| title_auth | Flat rank two vector bundles on genus two curves |
| title_exact_search | Flat rank two vector bundles on genus two curves |
| title_full | Flat rank two vector bundles on genus two curves Viktoria Heu ; Frank Loray |
| title_fullStr | Flat rank two vector bundles on genus two curves Viktoria Heu ; Frank Loray |
| title_full_unstemmed | Flat rank two vector bundles on genus two curves Viktoria Heu ; Frank Loray |
| title_short | Flat rank two vector bundles on genus two curves |
| title_sort | flat rank two vector bundles on genus two curves |
| topic | Holomorphes Vektorraumbündel (DE-588)4160483-0 gnd Parabolisch entartete Differentialgleichung (DE-588)4173244-3 gnd |
| topic_facet | Holomorphes Vektorraumbündel Parabolisch entartete Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031437960&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT heuviktoria flatranktwovectorbundlesongenustwocurves AT lorayfrank flatranktwovectorbundlesongenustwocurves |