Tekijä: Kiran S. Kedlaya; Daniel M. Kane; Jonathan M. Kane; Evan M. O'Dorney Kustantaja: American Mathematical Society (2021) Saatavuus: Noin 12-15 arkipäivää
Tekijä: Bryden Cais; Bhargav Bhatt; Ana Caraiani; Kiran S. Kedlaya; Peter Scholze Kustantaja: American Mathematical Society (2019) Saatavuus: Selvityksessä
Tekijä: Bryden Cais; Bhargav Bhatt; Ana Caraiani; Kiran S. Kedlaya; Peter Scholze Kustantaja: American Mathematical Society (2019) Saatavuus: Noin 12-15 arkipäivää
Tekijä: Matthew Baker; Brian Conrad; Samit Dasgupta; Kiran S. Kedlaya; Jeremy Teitelbaum; David Savitt; Dinesh S. Thakur Kustantaja: American Mathematical Society (2008) Saatavuus: Ei tiedossa
Cambridge University Press Sivumäärä: 420 sivua Asu: Kovakantinen kirja Painos: 2nd Revised edition Julkaisuvuosi: 2022, 09.06.2022 (lisätietoa) Kieli: Englanti
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.