p-adic differential equations /
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| Author / Creator: | Kedlaya, Kiran Sridhara, 1974- author. |
|---|---|
| Edition: | Second edition. |
| Imprint: | Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022. |
| Description: | xx, 496 pages ; 24 cm. |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 199 Cambridge studies in advanced mathematics ; 199. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12759889 |
MARC
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| 008 | 220518s2022 nyu b 001 0 eng | ||
| 005 | 20221012181411.2 | ||
| 010 | |a 2022022819 | ||
| 035 | |a (OCoLC)on1328015458 | ||
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| 015 | |a GBC270258 |2 bnb | ||
| 016 | 7 | |a 020562563 |2 Uk | |
| 020 | |a 9781009123341 |q (hardback) | ||
| 020 | |a 1009123343 | ||
| 020 | |z 9781009275651 (PDF ebook) | ||
| 035 | |a (OCoLC)1328015458 | ||
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| 084 | |a MAT022000 |2 bisacsh | ||
| 049 | |a CGUA | ||
| 100 | 1 | |a Kedlaya, Kiran Sridhara, |d 1974- |e author. | |
| 245 | 1 | 0 | |a p-adic differential equations / |c Kiran S. Kedlaya, University of California San Diego. |
| 250 | |a Second edition. | ||
| 263 | |a 2208 | ||
| 264 | 1 | |a Cambridge, United Kingdom ; |a New York, NY : |b Cambridge University Press, |c 2022. | |
| 300 | |a xx, 496 pages ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 199 | |
| 504 | |a Includes bibliographical references and index. | ||
| 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"-- |c Provided by publisher. | ||
| 650 | 0 | |a p-adic analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 7 | |a MATHEMATICS / Number Theory. |2 bisacsh | |
| 650 | 7 | |a Differential equations. |2 fast |0 (OCoLC)fst00893446 | |
| 650 | 7 | |a p-adic analysis. |2 fast |0 (OCoLC)fst01185026 | |
| 776 | 0 | 8 | |i ebook version : |z 9781009275651 |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 199. | |
| 929 | |a cat | ||
| 999 | f | f | |s 3425f5a2-71a6-4fd8-94eb-0bc199dd0f53 |i 8e018ca3-8bc8-4bae-83e6-5f9728e105f6 |
| 928 | |t Library of Congress classification |a QA241.K43 2022 |l Eck |c Eck-Eck |i 12897133 | ||
| 927 | |t Library of Congress classification |a QA241.K43 2022 |l Eck |c Eck-Eck |g SEPS |b 117787070 |i 10425441 | ||