3 papers
math.AC2026
Independence of generic forms and the Fröberg conjecture
Mats Boij, Eric Dannetun, Samuel Lundqvist
We show that the Fröberg conjecture holds in the second non-trivial degree for an ideal generated by generic forms of degree . We also show that the conjecture is true up to…
math.AC2026
Betti numbers of ideals generated by powers of general linear forms
Eric Dannetun
We study ideals generated by powers of general linear forms in . By generalizing the ideas in a recent paper of Diethorn et al., we determine the Betti n…
math.AC2024
Products and powers of principal symmetric ideals
Eric Dannetun, Riccardo Formenti, Bo Y. Gao +8
Principal symmetric ideals were recently introduced by Harada, Seceleanu, and Sega, with a focus on their homological properties. They are ideals generated by the orbit of a single…