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Artinian level algebras of codimension 3
Hilbert functions Level O-sequences Artinian Level algebras Reduction numbers Generic initial ideals Graded Betti numbers
2011/9/15
Abstract: In this paper, we continue the study of which $h$-vectors $\H=(1,3,..., h_{d-1}, h_d, h_{d+1})$ can be the Hilbert function of a level algebra by investigating Artinian level algebras of cod...
On the number of limit cycles in quadratic perturbations of quadratic codimension four centers
limit cycles quadratic codimension four centers
2010/11/15
This paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of quadratic codimension-four centers $Q_4$. Gavrilov and Iliev set an upper bound of {\it eight} for th...
Obstruction Theory and Coincidences in Positive Codimension
Nielsen number Reidemeister number coincidence theory obstruction theory
2007/12/12
Let $f,g:X\to Y$ be two maps between closed manifolds with {\bf $\dim X\ge \dim Y=n\ge 3$}. We study the primary obstruction $o_{n}(f,g)$ to deforming $f$ and $g$ to be coincidence free on the $n$-th ...