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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 $n - 1$
Mathoverflow.net news digest
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What are applications of hard Lefschetz theorem in algebraic geometry?
The Hard Lefschetz theorem holds for the cohomology of smooth projective varieties. It is a remarkable result in its own right. I wonder what its most notable corollaries are.
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How should one think about 2-categories?
As a theoretical physicist, I am interesting in learning about 2-categories. To set the scene and explain what type of answer I'm hoping for, let me explain my (limited) background. I have 'working knowledge' about for instance modular tensor categories...
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Can angular cancellation via Hecke $L$-functions reduce the discrete short-inter...
I am studying a geometric framework that evaluates prime distribution on the boundary rays of the Eisenstein hexagonal lattice ($k=6$). The principal boundaries are given by the quadratic polynomials $V_{6,m}(n) = 3n^2 + b_m n + 1$, where $b_m \in \...
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I have a question about the following Cauchy-Euler differential equation: (x + 2)^2 y'' + (x + 2) y' + y = 0.Instead of assuming the standard solution form of y = (x + 2)^m, I substituted y = (x + 2)^2 directly into the equation with the following derivations...
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