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- W4309127079 abstract "We characterize Hilbert polynomials that give rise to Hilbert schemes with two Borel-fixed points and determine when the associated Hilbert schemes or their irreducible components are smooth. In particular, we show that the Hilbert scheme is reduced and has at most two irreducible components. By describing the singularities in a neighbourhood of the Borel-fixed points, we prove that the irreducible components are Cohen-Macaulay and normal. We end by giving many examples of Hilbert schemes with three Borel-fixed points." @default.
- W4309127079 created "2022-11-23" @default.
- W4309127079 creator A5080967731 @default.
- W4309127079 date "2019-07-31" @default.
- W4309127079 modified "2023-10-14" @default.
- W4309127079 title "Hilbert schemes with two Borel-fixed points" @default.
- W4309127079 doi "https://doi.org/10.48550/arxiv.1907.13335" @default.
- W4309127079 hasPublicationYear "2019" @default.
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