We consider a homogeneous graded algebra on a field $K$, which is the Segre product of a $K-$polynomial ring? in $m$ variables? and the second squarefree Veronese? subalgebra of? a $K-$polynomial ring in $n$ variables, generated over $K$ by elements of degree $1$. We describe a class of graded ideals of the Segre product with a linear resolution, provided that the minimal system of generators satisfies a suitable condition of combinatorial kind.
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机译：我们考虑一个常见的渐变代数在$ k $上，这是$ k-$多项式戒指的SEGRE产品吗？ $ M $变量？和第二个SquareFree Veronese？子晶代布拉？ $ k-$多项式环以$ n $变量，由$ 1 $的元素产生超过$ k $。我们描述了一类具有线性分辨率的SEGRE产品的分级理想，只要最小的发电机系统满足组合种类的合适状态。
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