an easy example of this phenomenon.

\[artin\] Let $R=k[x_1,\ldots,x_n]$, ${\mathfrak{m}}=(x_1,\ldots,x_n)$. Let $I\subseteq R$ be a homogeneous ideal generated by ${ {{n+t-1} \choose {t}} }$ linearly independent polynomials of degree $t$. Then $I_j=0$ for all $j<t$ and $dim I_t={ {{n+t-1} \choose {t}} }=dim({\mathfrak{m}}^t)_t$. Therefore $I={\mathfrak{m}}^t$, so it is the ideal of maximal minors of the $t\times (t+n-1)$ matrix $$\left(\begin{array}{ccccccc}
x_1 & \cdots & x_n & 0 & \cdots & \cdots & 0 \\
0 & x_1 & \cdots & x_n & 0 & & \vdots \\
\vdots & \ddots & \ddots & \ddots & \ddots & \ddots & \vdots \\
\vdots &  & 0 & x_1 & \cdots & x_n & 0 \\
0 & \cdots & \cdots & 0 & x_1 & \cdots & x_n 
\end{array}\right).$$ So $I$ is good determinantal.

The next proposition shows that this is not the case in general. We present a family of arithmetically Cohen-Macaulay schemes that are not standard determinantal, but such that the Artinian reduction of their coordinate ring is good determinantal. In particular, they have the graded Betti numbers of a standard determinantal scheme. From a more geometric point of view, it is interesting to decide whether the schemes in question have 