Zobrazeno 1 - 10
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pro vyhledávání: '"Ito Kazuhiro"'
Autor:
Ito, Kazuhiro
For a smooth affine group scheme $G$ over the ring of $p$-adic integers and a cocharacter $\mu$ of $G$, we develop the deformation theory for $G$-$\mu$-displays over the prismatic site of Bhatt-Scholze, and discuss how our deformation theory can be i
Externí odkaz:
http://arxiv.org/abs/2306.05361
Autor:
Ito, Kazuhiro
For a smooth affine group scheme $G$ over the ring of $p$-adic integers $\mathbb{Z}_p$ and a cocharacter $\mu$ of $G$, we study $G$-$\mu$-displays over the prismatic site of Bhatt-Scholze. In particular, we obtain several descent results for them. If
Externí odkaz:
http://arxiv.org/abs/2303.15814
As an application of our previous work on CM liftings of K3 surfaces and the Tate conjecture, we prove the Hodge standard conjecture for squares of K3 surfaces. We also deduce the Hodge standard conjecture for all the powers of certain K3 surfaces.
Externí odkaz:
http://arxiv.org/abs/2206.10086
Publikováno v:
In Journal of Advanced Joining Processes November 2024 10
Autor:
Ito, Kazuhiro
We prove $p$-complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings. Using our results, we clarify a reduction argument in the proof of the classification of $p$-divisible groups over integral
Externí odkaz:
http://arxiv.org/abs/2112.02443
Publikováno v:
In Materials & Design August 2024 244
Publikováno v:
In Journal of Materials Research and Technology May-June 2024 30:4692-4701
Autor:
Ito, Kazuhiro
We formulate and study a torsion analogue of the weight-monodromy conjecture for a proper smooth scheme over a non-archimedean local field. We prove it for proper smooth schemes over equal characteristic non-archimedean local fields, abelian varietie
Externí odkaz:
http://arxiv.org/abs/2008.11905
Autor:
Ito, Kazuhiro
We prove some $\ell$-independence results on local constancy of \'etale cohomology of rigid analytic varieties. As a result, we show that a closed subscheme of a proper scheme over an algebraically closed complete non-archimedean field has a small op
Externí odkaz:
http://arxiv.org/abs/2008.07794
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