摘要
Let X be an (rn x n)-matrix of indeterminates, and let J be the ideal generated by a set S of maximal minors of X. We construct the linear strand of the resolution of J. This linear strand is determined by the clique complex of the m-clutter corresponding to the set S. As a consequence, we obtain explicit formulas for the graded Betti numbers beta(i,i+m)(J) for all i >= 0. We also determine all sets S for which J has a linear resolution.
- 出版日期2017