Search Results

Alexander. http://www.springerlink.com/index/J4EXVR63M2QB95PP.pdf) …

I am interested in obtaining injectivity of a $C^1$ map from the nonvanishing minors of its Jacobian matrix. Here is a brief history of the topic. In 1953, Samuelson asked the following: If the u …

If I understand the question correctly, a subset $l$ of lines belongs to $S$ if and only if there is a straight-line segment crossing exactly the lines from $l$. The problem is then equivalent to the …

You should have a look at the paper (now broken Springer link) which deals with nonorientable surfaces with boundary. Edit (April 17, 2023) I don't remember what paper I had in mind at that time. Sorr …

There are lots of papers dealing with representation-theoretic questions and universal enveloping algebras using Gröbner bases. Some examples are given by these: 1, 2, 3, 4.

The paper by Conrey and Li "A note on some positivity conditions related to zeta and L-functions" https://arxiv.org/abs/math/9812166 discusses some of the problems with de Branges's argument. They des …

Note: This is a generalization in a different direction from what the question asked for (these references generalize in terms of finding volumes, but Koundinya Vajjha wanted a generalization in terms …

EDIT: Everything below the line is from before the OP changed his question. It was attempting to study linear maps $\rho: R \rightarrow GL(V)$ for $R$ a finite ring and $V$ a vector space. Now that th …

In general there are many such functions and the non-trivial ones are pretty interesting. I will focus on the commutative case, as that's what I know best. So let $R$ be a commutative noetherian ring …

There is a Bratelli diagram which satisfies this. Consider $\mathbb N^2$ as a graph where the edges are given by k parallel directed edges from $(n,k)$ to $(n+1,k)$, and $n-k+1$ parallel directed edge …

This is more a remark than an answer. It is perhaps worth noting that in the related classification of foliations on surfaces by McQuillan, Brunella, and Mendes abundance does not hold. The so called …

Let $M$ be a compact finite-dimensional smooth manifold. I have a question about the relationship between the statements that a Morse function induces a handle decomposition for $M$, and that it induc …

It is well-known that Miyaoka and Yau-type inequalities do not hold in positive characteristic. In "a note on Bogomolov-Gieseker’s inequality in positive characteristic", however, we can find the foll …

The paper by Craigen and Jedwab points out a very definite flaw in the main theorem by Hurley, Hurley & Hurley, providing a counterexample to that theorem. So the conjecture is still open. The paper …

Elie Cartan has classified all compact symmetric spaces admitting a compact simple Lie group as their group of motion.There are 7 infinite series and 12 exceptional cases. The exceptional cases are …