Abstract
The goal of this paper is to study irreducible families of codimension 4, arithmetically Gorenstein schemes defined by the submaximal minors of a homogeneous matrix whose entries are homogeneous forms of degree . Under some numerical assumption on and , we prove that the closure of is an irreducible component of , show that is generically smooth along , and compute the dimension of in terms of and . To achieve these results we first prove that is determined by a regular section of where and is a codimension-2, arithmetically Cohen–Macaulay scheme defined by the maximal minors of the matrix obtained deleting a suitable row of .
Citation
Jan Kleppe. Rosa Miró-Roig. "Ideals generated by submaximal minors." Algebra Number Theory 3 (4) 367 - 392, 2009. https://doi.org/10.2140/ant.2009.3.367
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