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pro vyhledávání: '"Sascha Orlik"'
This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic g
Autor:
Sascha Orlik
Publikováno v:
Research in the Mathematical Sciences. 5
We propose two inductive approaches for determining the cohomology of Deligne-Lusztig varieties in the case of G = GLn.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::310d568d98d51edcdc5d6f5897487a35
https://doi.org/10.1007/s40687-018-0131-7
https://doi.org/10.1007/s40687-018-0131-7
Autor:
Matthias Strauch, Sascha Orlik
Publikováno v:
Journal of the American Mathematical Society. 28:99-157
Let G G be a split reductive p p -adic group. This paper is about the Jordan-Hölder series of locally analytic G G -representations which are induced from locally algebraic representations of a parabolic subgroup P ⊂ G P \subset G . We construct f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::748e23fa1e2eb0d07bfc04ec945b7eb0
https://doi.org/10.1090/s0894-0347-2014-00803-1
https://doi.org/10.1090/s0894-0347-2014-00803-1
Autor:
Sascha Orlik
Publikováno v:
Advances in Mathematics. 219:728-741
We determine the fundamental group of period domains over finite fields.
13 pages
13 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7e03ed7d745ef0f1724e1a66603c5f0
https://doi.org/10.1016/j.aim.2008.06.011
https://doi.org/10.1016/j.aim.2008.06.011
Autor:
Sascha Orlik
Publikováno v:
Inventiones mathematicae. 172:585-656
Let \(\mathcal{X}\subset\mathbb{P}_K^d\) be Drinfeld’s upper half space over a finite extension K of ℚ p . We construct for every GL d+1-equivariant vector bundle \(\mathcal{F}\) on ℙ d K , a GL d+1(K)-equivariant filtration by closed subspaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea0f0068cb52419e47fdd3c212f679a3
https://doi.org/10.1007/s00222-008-0112-3
https://doi.org/10.1007/s00222-008-0112-3
Autor:
Sascha Orlik
Publikováno v:
Mathematische Zeitschrift. 252:209-222
This paper deals with a question of Fontaine and Rapoport which was posed in math.NT/0204293. There they asked for the determination of the index set of the Harder-Narasimhan vectors of the filtered isocrystals with fixed Newton- and Hodge vector. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1239817f78d4c7c59ec66a5d239fdfe
https://doi.org/10.1007/s00209-005-0853-2
https://doi.org/10.1007/s00209-005-0853-2
Autor:
Sascha Orlik
Publikováno v:
Inventiones mathematicae. 162:523-549
We compute the etale cohomology of period domains over local fields in the case of a basic isocrystal for quasi-split reductive groups. Period domains, which have been introduced by Rapoport and Zink [RZ], are open admissible rigid-analytic subsets o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3be25a887c82ad4df0fa769371fa6ba
https://doi.org/10.1007/s00222-005-0452-1
https://doi.org/10.1007/s00222-005-0452-1
Autor:
Sascha Orlik, Benjamin Schraen
Publikováno v:
Documenta Mathematica
Documenta Mathematica, Universität Bielefeld, 2014, 19, pp.647-671
Documenta Mathematica, Universität Bielefeld, 2014, 19, pp.647-671
We determine the composition factors of a Jordan-H\"older series including multiplicities of the locally analytic Steinberg representation. For this purpose we prove the acyclicity of the evaluated locally analytic Tits complex giving rise to the Ste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27838e9382592ede03fa5c623b08f73e
https://hal.archives-ouvertes.fr/hal-00661701
https://hal.archives-ouvertes.fr/hal-00661701