Irreducible Decompositions of Degeneracy Loci of Matrices


In this paper, we study the irreducible decompositions of the degeneracy loci of matrices which are defined by rank conditions on upper left submatrices. By introducing the concepts of standard and essential rank functions, we give an explicit classification of these degeneracy loci. Based on standard rank functions, we design an algorithm to write a… (More)
DOI: 10.1142/S0218196708004433