Ralf Froberg

collaborators

3 papers

math.AC2026

Betti numbers of split graphs

Ralf FrÃ¶berg

A split graph is a graph where the vertices are a disjoint union of a complete part $C = {x_{i}, \dots, x_{n}}$ and a stable part $S = {y_{1}, \dots, y_{m}}$ . We will determine the Betti num…

math.AC2026

Betti numbers of skeletons of thick trees

Ralf FrÃ¶berg

The starting point is the class of the following simplicial complexes $I^$ with 2-linear resolutions. The facets of $I^$ are $F_{1}, \dots, F_{n}$ , and we demand that for each $i$ $F_i\…

math.AC2026

Some new Betti numbers of ideals generated by n+1 generic forms in n variables

Ralf FrÃ¶berg

Very little is known on the Hilbert series of graded algebras $C [x_{1}, \dots, x_{n}] / (g_{1}, \dots, g_{r})$ , $r > n$ , $g_{i}$ generic form of degree $e_{i}$ , in general. One instance when…