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of 13
pro vyhledávání: '"Eike Lau"'
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
Autor:
Eike Lau, Thomas Zink
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 17:541-581
We define truncated displays over rings in which a prime p is nilpotent, we associate crystals to truncated displays, and we define functors from truncated displays to truncated Barsotti-Tate groups.
Comment: 48 pages
Comment: 48 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::265028ba94994d6aa43dfb581e5bf6b4
https://doi.org/10.1017/s1474748016000116
https://doi.org/10.1017/s1474748016000116
Autor:
Eike Lau
The Dieudonn\'e crystal of a p-divisible group over a semiperfect ring R can be endowed with a window structure. If R satisfies a boundedness condition, this construction gives an equivalence of categories. As an application one obtains a classificat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697f1d7c70716815e7368d34af3bcb50
https://doi.org/10.1112/s0010437x18007352
https://doi.org/10.1112/s0010437x18007352
Autor:
Eike Lau
Publikováno v:
Algebra Number Theory 8, no. 9 (2014), 2201-2262
We discuss the relation between crystalline Dieudonne theory and Dieudonne displays, with special emphasis on the case p=2. The theory of Dieudonne displays is extended to this case without restriction, which implies that the classification of finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29f7caa30549a36c074190ce41b3ba10
https://doi.org/10.2140/ant.2014.8.2201
https://doi.org/10.2140/ant.2014.8.2201
Autor:
Eike Lau
Publikováno v:
Compositio Mathematica. 146:220-232
A p-divisible group over a complete local domain determines a Galois representation on the Tate module of its generic fibre. We determine the image of this representation for the universal deformation in mixed characteristic of a bi-infinitesimal gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65ef0c3cf796f00bd41f72817d32f4b8
https://doi.org/10.1112/s0010437x09004242
https://doi.org/10.1112/s0010437x09004242
Autor:
Eike Lau
Publikováno v:
Annales scientifiques de l'École normale supérieure. 42:241-259
We show that the Zink equivalence between p-divisible groups and Dieudonne displays over a complete local ring with perfect residue field of characteristic p is compatible with duality. The proof relies on a new explicit formula for the p-divisible g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bab821eb385deda299060064eaa1c73
https://doi.org/10.24033/asens.2095
https://doi.org/10.24033/asens.2095
Publikováno v:
Annals of Mathematics
Annals of Mathematics, Princeton University, Department of Mathematics, 2013, 178 (3), pp.789-834. ⟨10.4007/annals.2013.178.3.1⟩
Annals of Mathematics, 2013, 178 (3), pp.789-834. ⟨10.4007/annals.2013.178.3.1⟩
Annals of Mathematics, Princeton University, Department of Mathematics, 2013, 178 (3), pp.789-834. ⟨10.4007/annals.2013.178.3.1⟩
Annals of Mathematics, 2013, 178 (3), pp.789-834. ⟨10.4007/annals.2013.178.3.1⟩
The isomorphism number (resp. isogeny cutoff) of a p-divisible group D over an algebraically closed field is the least positive integer m such that D[p^m] determines D up to isomorphism (resp. up to isogeny). We show that these invariants are lower s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9a91f433cc91e7fb20cdfd43f1e806c
https://hal.archives-ouvertes.fr/hal-01265173
https://hal.archives-ouvertes.fr/hal-01265173
Autor:
Eike Lau
We show that to every p-divisible group over a p-adic ring one can associate a display by crystalline Dieudonne theory. For an appropriate notion of truncated displays, this induces a functor from truncated Barsotti-Tate groups to truncated displays,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff4c3c7c932ce8c2d7d6b5f62085c15b
http://arxiv.org/abs/1006.2723
http://arxiv.org/abs/1006.2723
Autor:
Eike Lau, Bernhard Köck
Singerman and the first named author have recently developed a real Belyi thoery, leaving open a particular case in the proof of Belyi's theorem for Klein surfaces. We answer their question affirmatively by a descent argument which turns out to exten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77da634cee8a7dc16e338e64394433b7
https://eprints.soton.ac.uk/63274/
https://eprints.soton.ac.uk/63274/
Autor:
Eike Lau
The Galois representation associated to a p-divisible group over a complete noetherian normal local ring with perfect residue field is described in terms of its Dieudonn\'e display. As a corollary we deduce in arbitrary characteristic Kisin's descrip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1a2fbe8b2b20f861a74d365a6eafe5c