Rachel Diethorn

collaborators

2 papers

math.AC2026

Homological properties of rings defined by $n + 1$ general quadrics in $n$ variables

Rachel Diethorn, Sema GÃ¼ntÃ¼rkÃ¼n, Alexis Hardesty +4

We study the almost complete intersection ring $R$ defined by $n + 1$ general quadrics in a polynomial ring in $n$ variables over a field $k$ and a corresponding linked Gorenste…

math.AC2026

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal

Rachel Diethorn, Sema GÃ¼ntÃ¼rkÃ¼n, Alexis Hardesty +4

We examine the ideal $I = (x_{1}^{2}, \dots, x_{n}^{2}, (x_{1} + \dots + x_{n})^{2})$ in the polynomial ring $Q = k [x_{1}, \dots, x_{n}]$ , where $k$ is a field of characteristic zero or greater than $n$ . We…

Homological properties of rings defined by n+1 general quadrics in n variables

A study of a quadratic almost complete intersection ideal and its linked Gorenstein ideal

Homological properties of rings defined by $n + 1$ general quadrics in $n$ variables