Ralf Froberg

activity

20032022

most citedOn plane algebroid curves

4 citations · 7 across the 7 of their papers we have counts for

collaborators

8 papers

math.AC2022

Solution to a conjecture on edge rings with 2-linear resolutions

Ralf Fröberg

For a graph $G = (V, E)$ the edge ring $k [G]$ is $k [x_{1}, \dots, x_{n}] / I (G)$ , where $n = ∣ V ∣$ and $I (G)$ is generated by ${x_{i} x_{j}; {i, j} \in E}$ . The conjecture we treat is the followi…

math.AC2021

Betti numbers of fat forests and their Alexander dual

Ralf Fröberg

Let $k$ be a field and $R = k [x_{1}, \dots, x_{n}] / I = S / I$ a graded ring. Then $R$ has a $t$ -linear resolution if $I$ is generated by homogeneous elements of degree $t$ , and all higher syz…

math.AC2021

Hilbert series of generic ideals in products of projective spaces

Ralf Fröberg

If $I = (f_{1}, \dots, f_{r})$ is an ideal in $S = k [x_{1}, \dots, x_{n}]$ , and $f_{i}$ are "general" elements of given degrees, there is a conjecture on the Hilbert series of $S / I$ . We are consid…

math.CV2019

Algebraic relations between moments of plane polygons

Yurii Burman, Ralf Fröberg, Boris Shapiro

We describe the algebraic relations satisfied by the harmonic and anti-harmonic moments of simply connected, but not necessarily convex planar polygons with a given number of verti…

math.AG2013★ 3 cited

Vandermonde varieties and relations among Schur polynomials

Ralf Fröberg, Boris Shapiro

Motivated by the famous Skolem-Mahler-Lech theorem we initiate in this paper the study of a natural class of determinantal varieties which we call {\em Vandermonde varieties}. They…

math.AC2010

Associated graded rings of one-dimensional analytically irreducible rings II

Valentina Barucci, Ralf Fröberg

Lance Bryant noticed in his thesis that there was a flaw in our paper "Associated graded rings of one-dimensional analytically irreducible rings", J. Algebra 304 (2006), 349-358. I…