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Q&A for professional mathematicians
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
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Hottest Questions Today - MathOverflow
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An exact sequence in "The display of a formal $p$-divisible group"
In Zink's paper The display of a formal $p$-divisible group (link at Zink's page), he states that he has an exact sequence$$0\rightarrow \widehat{W}(N)\xrightarrow{\cdot F-1}\widehat{W}(N)\xrightarrow{\mathrm{hex}}\widehat{\mathbb{G}}_m(N)\rightarrow...
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Monotonicity of a ratio of theta-function derivatives
I want to find a proof that the ratio $R(t)$ below is decreasing in $t>0$.$$R(t)=\frac{\sum_{n=1}^\infty n^2e^{-4n^2t}}{\sum_{n=1}^\infty n^2e^{-n^2t}}$$This is the ratio of two hitting times for a Brownian motion. I haven't had any success using...
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Find the common vertex in an intersection of perturbed polytopes
Let $\mathcal{P} \subseteq \mathbb{R}^n$ be a polytope with non-empty interior. It is given as an intersection of $m$ half-spaces. From a point in its interior, assume that there are some lines through the vertices of $\mathcal{P}$. Obtain the polytopes...
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Derived brick objects of cyclic Nakayama algebras
Let $C_s$ be the quiver $ 1 \rightarrow 2 \rightarrow \cdots \rightarrow s-1 \rightarrow s \rightarrow 1$, i.e. the cyclic quiver with s vertexes and s arrows.Then, we denote by $k C_s$ the path algebra and by $J$ the radical, which is the ideal generated...
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