论文标题
在GKZ判别基因座上
On the GKZ discriminant locus
论文作者
论文摘要
令$ a $为积分矩阵，让$ p $为其列的凸壳。由于Gelfand，Kapranov和Zelevinski的结果，所谓的主要$ a $ a $ a $确定基因座等于与$ p $相关的lurent多项式的判别基因座的结合。在此简短说明中，我们表明它也是所有判别基因座的直接结合，即我们可能包括更高的编成imensimension，并且无需封闭。这回答了Kite和Segal的问题。
Let $A$ be an integral matrix and let $P$ be the convex hull of its columns. By a result of Gelfand, Kapranov and Zelevinski, the so-called principal $A$-determinant locus is equal to the union of the closures of the discriminant loci of the Laurent polynomials associated to the faces of $P$ that are hypersurfaces. In this short note we show that it is also the straightforward union of all the discriminant loci, i.e. we may include those of higher codimension, and there is no need to take closures. This answers a question by Kite and Segal.
