Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Bryden Cais"'
Autor:
JEREMY BOOHER, BRYDEN CAIS
Publikováno v:
Nagoya Mathematical Journal. 250:298-351
We investigate a novel geometric Iwasawa theory for ${\mathbf Z}_p$ -extensions of function fields over a perfect field k of characteristic $p>0$ by replacing the usual study of p-torsion in class groups with the study of p-torsion class group scheme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50b5888d56d54b0bea748f09c0ecb8ee
https://doi.org/10.1017/nmj.2022.30
https://doi.org/10.1017/nmj.2022.30
Autor:
Bryden Cais, Jeremy Booher
Publikováno v:
Algebra Number Theory 14, no. 3 (2020), 587-641
Let [math] be a branched [math] -cover of smooth, projective, geometrically connected curves over a perfect field of characteristic [math] . We investigate the relationship between the [math] -numbers of [math] and [math] and the ramification of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cb2e61c1ac7be4be3c375addc0ce16d
https://doi.org/10.2140/ant.2020.14.587
https://doi.org/10.2140/ant.2020.14.587
Autor:
Tong Liu, Bryden Cais
Publikováno v:
Transactions of the American Mathematical Society. 371:1199-1230
For a perfect field k k of characteristic p > 0 p>0 and a smooth and proper formal scheme X \mathcal {X} over the ring of integers of a finite and totally ramified extension K K of W ( k ) [ 1 / p ] W(k)[1/p] , we propose a cohomological construction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::720f272d89931f528f3cfc8929b13e3f
https://doi.org/10.1090/tran/7280
https://doi.org/10.1090/tran/7280
Autor:
Bryden Cais
Publikováno v:
Compositio Mathematica. 154:719-760
We construct the $\unicode[STIX]{x1D6EC}$-adic crystalline and Dieudonné analogues of Hida’s ordinary $\unicode[STIX]{x1D6EC}$-adic étale cohomology, and employ integral $p$-adic Hodge theory to prove $\unicode[STIX]{x1D6EC}$-adic comparison isom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c27f0fcd1d6999284172400b0b9465bf
https://doi.org/10.1112/s0010437x17007680
https://doi.org/10.1112/s0010437x17007680
Autor:
Bryden Cais
Publikováno v:
Mathematische Annalen. 372:781-844
We construct the $$\Lambda $$ -adic de Rham analogue of Hida’s ordinary $$\Lambda $$ -adic etale cohomology and of Ohta’s $$\Lambda $$ -adic Hodge cohomology, and by exploiting the geometry of integral models of modular curves over the cyclotomic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca509cb164c99c456bbb4829f0d7f4fd
https://doi.org/10.1007/s00208-017-1608-1
https://doi.org/10.1007/s00208-017-1608-1
Autor:
Eike Lau, Bryden Cais
Publikováno v:
Proceedings of the London Mathematical Society. 114:733-763
Let k be a perfect field of characteristic p>2 and K an extension of F=FracW(k) contained in some F(μpr). Using crystalline Dieudonne theory, we provide a classification of p-divisible groups over R=OK[[t1,...,td]] in terms of finite height (φ,Γ)-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78c5b6db66881135f2b3a45953392f0a
https://doi.org/10.1112/plms.12021
https://doi.org/10.1112/plms.12021
Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the associati
Autor:
Tong Liu, Bryden Cais
Publikováno v:
Transactions of the American Mathematical Society. 373:2251-2252
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b71be48dc9b82174fd4c958ddb2e626
https://doi.org/10.1090/tran/7894
https://doi.org/10.1090/tran/7894
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 28:417-430
Let K denote a finite extension of Qp. We give necessary and sufficient conditions for an infinite totally wildly ramified extension L/K to be strictly APF in the sense of Fontaine-Wintenberger. Our conditions are phrased in terms of the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44649987bbc835192e7cf24baa7dcadf
https://doi.org/10.5802/jtnb.946
https://doi.org/10.5802/jtnb.946
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 12:651-676
We describe a probability distribution on isomorphism classes of principally quasi-polarized $p$-divisible groups over a finite field $k$ of characteristic $p$ which can reasonably be thought of as a ‘uniform distribution’, and we compute the dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c79e620332128c22ff1657696cb4b15
https://doi.org/10.1017/s1474748012000862
https://doi.org/10.1017/s1474748012000862