Výsledky vyhledávání - "Liu, Linyuan"

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Autor: Liu, Linyuan

In this article, we prove a limit theorem for an observable on the torus with a singularity of type $x^{-a}$, where $0Comment: master thesis, in French

Externí odkaz: http://arxiv.org/abs/2011.08795

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Filtrations of tilting modules and costalks of parity sheaves

Autor: Liu, Linyuan

Let G be a reductive algebraic group over a field k. When k=C, R.K.Brylinski constructed a filtration of weight spaces of a G module, using the action of a principal nilpotent element of the Lie algebra, and proved that this filtration corresponds to

Externí odkaz: http://arxiv.org/abs/2007.12444

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On the cohomology of line bundles over certain flag schemes

Autor: Liu, Linyuan

Let $G$ be the group scheme $\operatorname{SL}_{d+1}$ over $\mathbb{Z}$ and let $Q$ be the parabolic subgroup scheme corresponding to the simple roots $\alpha_{2},\cdots,\alpha_{d-1}$. Then $G/Q$ is the $\mathbb{Z} $-scheme of partial flags $\{D_{1}\

Externí odkaz: http://arxiv.org/abs/1908.08438

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On the cohomology of line bundles over certain flag schemes II

Autor: Liu, Linyuan, Polo, Patrick

Over a field $K$ of characteristic $p$, let $Z$ be the incidence variety in $\mathbb{P}^d \times (\mathbb{P}^d)^*$ and let $\mathcal{L}$ be the restriction to $Z$ of the line bundle $\mathcal{O}(-n-d) \boxtimes \mathcal{O}(n)$, where $n = p+f$ with $

Externí odkaz: http://arxiv.org/abs/1908.08432

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Cohomologie des fibr\'es en droites sur SL3 /B en caract\'eristique positive : deux filtrations et cons\'equences

Autor: Liu, Linyuan

In this thesis, I will prove the existence of two filtrations of the cohomology of line bundles on SL_3/B. The first one is a two-step filtration that exists for $H^1(\mu)$ and $H^2(\mu)$ if $\mu$ is in the Griffith region. The second one exists for

Externí odkaz: http://arxiv.org/abs/1903.08758

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