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Given a bipartite graph $G$, we seek a maximal weighted matching $E$. The particularity is below. Once an edge $e$ is chosen, the action of choosing ...
Asked on 12/25/2020
2 answerFor an Abelian scheme over a ring of integers in a number field, Faltings has a theorem that describes how the Faltings' height changes through an isogeny. There are multiple...
Asked on 12/21/2020 by Asvin
0 answerPick integers $a,b,c,d$ uniformly and randomly on conditions $a,b,c,d>0$, $ad+bc<2max(ac,bd)$, $ac<bd<(1+delta)^2ac$ at a fixed $delta>0$ (perhaps bigger than $1$) and $min(a,b,c,d)>max(m,n)$ where ...
Asked on 12/21/2020 by VS.
0 answerIn Gilbarg-Trudinger's section on the maximum principle for weak solutions, the sup of a boundary of a Sobolev function defined as follows:Let $Omega$ be a bounded...
Asked on 12/20/2020 by Yongmin Park
0 answerIn this post (the content of this post is now cross-posted from Mathematics Stack Exchange see below) we denote the radical of an integer $n>1$ as the product of...
Asked on 12/18/2020 by user142929
1 answerAll rings are commutative and unital. Let $A$ be an absolutely flat ring and $A rightarrow B$ a ring monomorphism with integral fibers (i.e. for each $mathfrak{p}...
Asked on 12/18/2020 by Badam Baplan
0 answerLet $Ksubsetmathbb{R}^n$ be any compact set. Let $operatorname{Unp}(K)$ be the set of points in$$operatorname{Unp}(K)={xinmathbb{R}^nsetminus K:, exists ! yin K |x-y|=d(x,K)}.$$Here are...
Asked on 12/18/2020 by Piotr Hajlasz
2 answerIs there a $2$ dimensional holomorphic manifold $M$ with a closed $2$ dimensional real submanifold $A$ of $M$ such that for every...
Asked on 12/17/2020 by Ali Taghavi
0 answerThe Leibniz integral rule, in its multivariate form, deals with differentiation of the following sort:$$ frac{partial}{partial t} int_{D(t)} F({bf x}, t) , d{bf x} ,...
Asked on 12/17/2020 by Amir Sagiv
1 answerNote: This question has been brought here from MSE. I have been working on various sums involving the zeta function (which come up frequently in my research), and it...
Asked on 12/15/2020 by epic_math
0 answerGet help from others!
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