國立高雄大學圖資館 |

登入

回首頁

p-adic differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	p-adic differential equationsKiran S. Kedlaya, University of California San Diego.
作者:	Kedlaya, Kiran S.
出版者:	Cambridge, United Kingdom ; New York, NY :Cambridge University Press,2022.
面頁冊數:	xx, 496 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 08 Aug 2022).
標題:	p-adic analysis.
電子資源:	https://doi.org/10.1017/9781009127684
ISBN:	9781009127684

p-adic differential equations
Kedlaya, Kiran S.

p-adic differential equations[electronic resource] /Kiran S. Kedlaya, University of California San Diego. - Second edition. - Cambridge, United Kingdom ; New York, NY :Cambridge University Press,2022. - xx, 496 p. :ill., digital ;23 cm. - Cambridge studies in advanced mathematics ;198. - Cambridge studies in advanced mathematics ;105..

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.

ISBN: 9781009127684Subjects--Topical Terms:

766762
p-adic analysis.

LC Class. No.: QA241 / .K43 2022

Dewey Class. No.: 512.74

p-adic differential equations
LDR:01913nmm a2200265 a 4500 001 626604
003 UkCbUP
005 20220909115745.0
006 m d
007 cr nn 008maaau
008 230118s2022 enk o 1 0 eng d
020 $a 9781009127684 $q (electronic bk.)
020 $a 9781009123341 $q (hardback)
035 $a CR9781009127684
040 $a UkCbUP $b eng $c UkCbUP $d GP
050 0 0 $a QA241 $b .K43 2022
082 0 0 $a 512.74 $2 23
090 $a QA241 $b .K25 2022
100 1 $a Kedlaya, Kiran S. $3 930121
245 1 0 $a p-adic differential equations $h [electronic resource] / $c Kiran S. Kedlaya, University of California San Diego.
250 $a Second edition.
260 $a Cambridge, United Kingdom ; New York, NY : $b Cambridge University Press, $c 2022.
300 $a xx, 496 p. : $b ill., digital ; $c 23 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 198
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 0 $a p-adic analysis. $3 766762
650 0 $a Differential equations. $3 183925
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/9781009127684