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I am currently in the process of translating a lecture on the étale topology by John Hubbard from French into English (and from transparencies into Beamer). For the most...
Asked on 01/05/2022 by Matt Noonan
7 answerConsider a Young diagram $lambda = (lambda_1,ldots,lambda_ell)$. For a square $(i,j) in lambda$, define hook numbers $h_{ij} = lambda_i + lambda_j' -i - j +1$ and...
Asked on 01/05/2022 by Igor Pak
2 answerLet $V_1,ldots , V_k$ be vector spaces of dimensions $n_1,ldots , n_k$ over a field of characteristic zero. Consider the rational map$newcommand{PP}{mathbb{P}}newcommand{bs}{boldsymbol}DeclareMathOperator{Gr}{Gr}DeclareMathOperator{im}{im}...
Asked on 01/05/2022
0 answerLet $R$ denote a commutative ring with identity and let $R[[X]]$ denote thering of formal power series over $R$ in an indeterminate $X$. If ...
Asked on 01/05/2022 by A. C. Biller
1 answerLet $(X, omega) $ be a complex manifold and let $alpha $ be a $p$-form $omega$-bounded on $X$.Let $f:Yto X$ be a holomorphic...
Asked on 01/05/2022 by Kamel
0 answerLet $P$ be a prime ideal in $S=mathbb{C}[x_1,ldots , x_n],$ and write $[n] = { 1, ldots , n }.$ The algebraic matroid of $P$ can...
Asked on 01/05/2022
0 answerI would love to prove the following inequality$$ {1over sqrt{pi} } sum_{m=0}^{infty}Gamma{(1+2m)/alpha}{ (-t^2)^{m}over (2m) !}=$$$$sum_{m=0}^{infty}{ Gamma{(1+2m)/alpha}over Gamma(1/2+m)}{ (-t^2/4)^{m}over m !}...
Asked on 01/03/2022
0 answerAccording to page 1-2 of this paper (https://arxiv.org/abs/0906.4286), Mahler has established the inequality$$|alpha_1 - alpha_2| geq H(alpha_1)^{-(d-1)} tag 1 $$to be valid for all...
Asked on 01/03/2022
0 answerI've been wondering recently what—if any—applications proof theory has to ordinary mathematics (by which I mean algebra, analysis, topology, and so on). In particular, I'd be fascinated to see a...
Asked on 01/03/2022 by mcncm
2 answer(Edited)I need a reference to the following result:If $u in H^2(B_1^+) cap {rm Lip}(B_1^+)$ satisfiesbegin{cases} {rm div}(F(x,u,nabla u)) = F_0(x,u,nabla u) quad &...
Asked on 01/03/2022 by artful_dodger
1 answerGet help from others!
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