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p-adic Differential Equations
Engelsk
Bogcover for p-adic Differential Equations af Kiran S. Kedlaya, 9781009123341
Specifikationer
Sprog:
Engelsk
Sider:
518
ISBN-13:
9781009123341
Indbinding:
Hardback
ISBN-10:
1009123343
Udg. Dato:
9 jun 2022
Størrelse i cm:
15,9 x 23,6 x 4,3
Oplagsdato:
9 jun 2022
Forfatter(e):

p-adic Differential Equations

Engelsk
Hardback 2022
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
518
ISBN-13:
9781009123341
Indbinding:
Hardback
ISBN-10:
1009123343
Udg. Dato:
9 jun 2022
Størrelse i cm:
15,9 x 23,6 x 4,3
Oplagsdato:
9 jun 2022
Forfatter(e):
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