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- W4288358385 abstract "We study submodules of analytic Hilbert modules defined over certain algebraic varieties in bounded symmetric domains, the so-called Jordan-Kepler varieties $V_ell$ of arbitrary rank $ell.$ For $ell>1$ the singular set of $V_ell$ is not a complete intersection. Hence the usual monoidal transformations do not suffice for the resolution of the singularities. Instead, we describe a new higher rank version of the blow-up process, defined in terms of Jordan algebraic determinants, and apply this resolution to obtain the rigidity of the submodules vanishing on the singular set." @default.
- W4288358385 created "2022-07-29" @default.
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- W4288358385 date "2019-05-08" @default.
- W4288358385 modified "2023-09-28" @default.
- W4288358385 title "Singular Hilbert modules on Jordan-Kepler varieties" @default.
- W4288358385 doi "https://doi.org/10.48550/arxiv.1905.03284" @default.
- W4288358385 hasPublicationYear "2019" @default.
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