Configurations of Linear Subspaces and Rational Invariants
نویسنده
چکیده
We construct a birational equivalence between certain quotients of s-tuples of equidimensional linear subspaces of Cn and some quotients of products of square matrices modulo diagonal conjugations. In particular, we prove the rationality of the quotient space of s-tuples of linear 2-planes in Cn modulo the diagonal GLn(C)-action . Furthermore, we compute generators of the field of the rational invariants explicitly.
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