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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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Let $A$ be a $C^*$-algebra and $(a_{ij}) \in M_n(A)$ be a positive matrix. Does there exist a constant $C \ge 0$ (not depending on the $a_{ij}$) such that $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
$G(k)$, as usual, is the smallest number such that every large integer is the sum of $k$th non negative powers. Let $G_r(k)$ be the restricted Waring's number, where we add the requirement that all the $k$th powers are distinct. What can be said about...
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0 days
Delta constants of $A=\mathbb{Z}[\mu_n : gcd(n,p)=1]$
In Kedlayas lecture notes on $\delta$-rings he claims that for $A=\mathbb{Z}[\mu_n : gcd(n,p)=1]$ together with the automorphism $\phi : A\to A, \zeta _n\mapsto \zeta_n ^p$, the $\delta$-constants (meaning $\delta(x) = \frac{\phi(x)-x^p}{p}=0$) are given...
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8 years
Endless controversy about the correctness of significant papers
In principle, a mathematical paper should be complete and correct. New statements should be supported by appropriate proofs. But this is only theory. Because we often cannot enter into the smallest details, we "prove" wrong statements here and then....
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0 days
Would this interpretation of semi-stable reduction of abelian variety still hold...
Let $K$ be a field with discrete valuation $v$ and residue field $k$ of char $p$, $A$ an abelian variety over $K$. Denote $K^s$ a separable closure of $K$ with valuation $\overline{v}$ extending $v$ and $I \subset \operatorname{Gal}(K^s/K)$ the inertia...
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