Ralf Froberg

activity

20032022

most citedOn plane algebroid curves

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

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6 papers · 1 filter

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.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…

math.AC2003★ 4 cited

On plane algebroid curves

Valentina Barucci, Marco D'Anna, Ralf Froberg

Two plane analytic branches are topologically equivalent if and only if they have the same multiplicity sequence. We show that having same semigroup is equivalent to having same mu…

math.AC2003

Arf characters of an algebroid curve

Valentina Barucci, Marco D'Anna, Ralf Froberg

Two algebroid branches are said to be equivalent if they have the same multiplicity sequence. It is known that two algebroid branches $R$ and $T$ are equivalent if and only if thei…