p-adic differential equations:
Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and link...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2022
|
| Edition: | Second edition |
| Series: | Cambridge studies in advanced mathematics
199 |
| Subjects: | |
| Online Access: | DE-12 DE-634 DE-92 DE-706 Volltext |
| Summary: | Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon |
| Item Description: | Title from publisher's bibliographic system (viewed on 08 Aug 2022) |
| Physical Description: | 1 Online-Ressource (xx, 496 Seiten) |
| ISBN: | 9781009127684 |
| DOI: | 10.1017/9781009127684 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV048493710 | ||
| 003 | DE-604 | ||
| 005 | 20240926 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 220930s2022 |||| o||u| ||||||eng d | ||
| 020 | |a 9781009127684 |c Online |9 978-1-00-912768-4 | ||
| 024 | 7 | |a 10.1017/9781009127684 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781009127684 | ||
| 035 | |a (OCoLC)1347221720 | ||
| 035 | |a (DE-599)BVBBV048493710 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-634 |a DE-706 | ||
| 082 | 0 | |a 512.7/4 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Kedlaya, Kiran Sridhara |d 1974- |0 (DE-588)141747633 |4 aut | |
| 245 | 1 | 0 | |a p-adic differential equations |c Kiran S. Kedlaya, University of California San Diego |
| 250 | |a Second edition | ||
| 264 | 1 | |a Cambridge, United Kingdom ; New York, NY |b Cambridge University Press |c 2022 | |
| 300 | |a 1 Online-Ressource (xx, 496 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 199 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 08 Aug 2022) | ||
| 520 | |a Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon | ||
| 650 | 4 | |a p-adic analysis | |
| 650 | 4 | |a Differential equations | |
| 650 | 0 | 7 | |a p-adische Analysis |0 (DE-588)4252360-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Differentialgleichung |0 (DE-588)4398266-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a p-adische Differentialgleichung |0 (DE-588)4398266-9 |D s |
| 689 | 0 | 1 | |a p-adische Analysis |0 (DE-588)4252360-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-00-912334-1 |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 199 |w (DE-604)BV044781283 |9 199 | |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781009127684 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-033871133 | |
| 966 | e | |u https://doi.org/10.1017/9781009127684 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009127684 |l DE-634 |p ZDB-20-CBO |q BTU_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009127684 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009127684 |l DE-706 |p ZDB-20-CBO |q UBY_PDA_CBO_Kauf |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1811275008709754880 |
|---|---|
| adam_text | |
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Kedlaya, Kiran Sridhara 1974- |
| author_GND | (DE-588)141747633 |
| author_facet | Kedlaya, Kiran Sridhara 1974- |
| author_role | aut |
| author_sort | Kedlaya, Kiran Sridhara 1974- |
| author_variant | k s k ks ksk |
| building | Verbundindex |
| bvnumber | BV048493710 |
| classification_rvk | SK 180 SK 520 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781009127684 (OCoLC)1347221720 (DE-599)BVBBV048493710 |
| dewey-full | 512.7/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/4 |
| dewey-search | 512.7/4 |
| dewey-sort | 3512.7 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781009127684 |
| edition | Second edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nmm a2200000zcb4500</leader><controlfield tag="001">BV048493710</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240926</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">220930s2022 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009127684</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-00-912768-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781009127684</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781009127684</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1347221720</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV048493710</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-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.7/4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kedlaya, Kiran Sridhara</subfield><subfield code="d">1974-</subfield><subfield code="0">(DE-588)141747633</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">p-adic differential equations</subfield><subfield code="c">Kiran S. Kedlaya, University of California San Diego</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge, United Kingdom ; New York, NY</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xx, 496 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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">199</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 08 Aug 2022)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">p-adic analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische Analysis</subfield><subfield code="0">(DE-588)4252360-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische Differentialgleichung</subfield><subfield code="0">(DE-588)4398266-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">p-adische Differentialgleichung</subfield><subfield code="0">(DE-588)4398266-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">p-adische Analysis</subfield><subfield code="0">(DE-588)4252360-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-00-912334-1</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">199</subfield><subfield code="w">(DE-604)BV044781283</subfield><subfield code="9">199</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781009127684</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033871133</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009127684</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009127684</subfield><subfield code="l">DE-634</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BTU_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009127684</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009127684</subfield><subfield code="l">DE-706</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBY_PDA_CBO_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV048493710 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:42:43Z |
| indexdate | 2024-09-26T16:00:55Z |
| institution | BVB |
| isbn | 9781009127684 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033871133 |
| oclc_num | 1347221720 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-634 DE-706 |
| owner_facet | DE-12 DE-92 DE-634 DE-706 |
| physical | 1 Online-Ressource (xx, 496 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBY_PDA_CBO_Kauf |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Kedlaya, Kiran Sridhara 1974- (DE-588)141747633 aut p-adic differential equations Kiran S. Kedlaya, University of California San Diego Second edition Cambridge, United Kingdom ; New York, NY Cambridge University Press 2022 1 Online-Ressource (xx, 496 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 199 Title from publisher's bibliographic system (viewed on 08 Aug 2022) Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon p-adic analysis Differential equations p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adische Differentialgleichung (DE-588)4398266-9 gnd rswk-swf p-adische Differentialgleichung (DE-588)4398266-9 s p-adische Analysis (DE-588)4252360-6 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-00-912334-1 Cambridge studies in advanced mathematics 199 (DE-604)BV044781283 199 https://doi.org/10.1017/9781009127684 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kedlaya, Kiran Sridhara 1974- p-adic differential equations Cambridge studies in advanced mathematics p-adic analysis Differential equations p-adische Analysis (DE-588)4252360-6 gnd p-adische Differentialgleichung (DE-588)4398266-9 gnd |
| subject_GND | (DE-588)4252360-6 (DE-588)4398266-9 |
| title | p-adic differential equations |
| title_auth | p-adic differential equations |
| title_exact_search | p-adic differential equations |
| title_exact_search_txtP | p-adic differential equations |
| title_full | p-adic differential equations Kiran S. Kedlaya, University of California San Diego |
| title_fullStr | p-adic differential equations Kiran S. Kedlaya, University of California San Diego |
| title_full_unstemmed | p-adic differential equations Kiran S. Kedlaya, University of California San Diego |
| title_short | p-adic differential equations |
| title_sort | p adic differential equations |
| topic | p-adic analysis Differential equations p-adische Analysis (DE-588)4252360-6 gnd p-adische Differentialgleichung (DE-588)4398266-9 gnd |
| topic_facet | p-adic analysis Differential equations p-adische Analysis p-adische Differentialgleichung |
| url | https://doi.org/10.1017/9781009127684 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT kedlayakiransridhara padicdifferentialequations |