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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2022
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Cambridge studies in advanced mathematics
199 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-634 DE-92 DE-706 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 08 Aug 2022) |
| Beschreibung: | 1 Online-Ressource (xx, 496 Seiten) |
| ISBN: | 9781009127684 |
| DOI: | 10.1017/9781009127684 |
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| 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 | ||
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| institution | BVB |
| isbn | 9781009127684 |
| language | English |
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| 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 |
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