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Let $mathcal{L}$ be a finite first-order language with no relation symbols, and $mathcal{K}:=mathcal{V}(Theta)$ a variety in this language definited by a set of identities $Theta$. My questions...
Asked on 11/09/2021
0 answerSuppose $X$ is a singular variety and we somehow know its motivic cohomology groups. Can the knowledge of motivic cohomology help in understanding the singularities of $X$ and...
Asked on 11/09/2021 by user161444
0 answerThis is something that I have been thinking about for a while now, not sure if it is standard (or even true at all) or not: Let $K/ mathbb...
Asked on 11/09/2021
0 answerI am interested in the expected exit time of a one-dimensional Brownian particle from a stochastically evolving interval as follows. Context: If $L_t$ and $R_t$ denote the distance...
Asked on 11/09/2021 by as1
0 answerLet $(M^n,g)$ be a smooth Riemannian manifold with non-empty boundary $partial M$. Assume (for simplicity) that $M$ is compact. Let $M$ be locally geodesically convex, i.e....
Asked on 11/09/2021 by makt
0 answerIn a discussion with one of my friends about degrees of computability, I was informed about something that was somehow new to me. As I'm not that much familiar with...
Asked on 11/09/2021 by Mohsen Shahriari
0 answerLet $R$ be a commutative ring with $1$, $R[[x]]$ be the power series ring over $R$ and $A$ be an (prime) ideal of $R[[x]]$...
Asked on 11/09/2021
0 answerHas the Euler characteristic with compact support of $mathrm{SL}_n(mathbb R)/mathrm{SL}_n(mathbb Z)$ been computed ? References? Thanks....
Asked on 11/09/2021 by sadok kallel
1 answerPer the title, what are some of the oldest abstract algebra books out there with (unsolved) exercises? Maybe there are some hidden gems from before the 20th century out there....
Asked on 11/09/2021 by Squid with Black Bean Sauce
3 answerAssume that the algebraically independent polynomials $f, ginmathbb{C}[x, y]$ are such that the Jacobian matrix $text{Jac}_{x, y}^{f, g}inmathbb{C}setminus{0}$. Is it true that $mathbb{C}[x, y] = mathbb{C}[f, g]+gcdotmathbb{C}[x,...
Asked on 11/09/2021
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