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arXiv · 2102.06457

Extending infinitely many times arithmetically Cohen-Macaulay and Gorenstein subvarieties of projective spaces

Edoardo Ballico
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Abstract

We give examples of infinitely extendable (not as cones) arithmetically Cohen-Macaulay and arithmetically Gorenstein subvarieties of projective spaces and which are not complete intersections. The proof uses the computation of the dimension of the Hilbert scheme of codimension $2$ subschemes of projective spaces due to G. Ellingsrud and of arithmetically Gorenstein codimension $3$ subschemes due to J. O. Kleppe and R.-M. Mir\'{o}-Roig.

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Edoardo Ballico. 2021-02-12. Extending infinitely many times arithmetically Cohen-Macaulay and Gorenstein subvarieties of projective spaces. https://arxiv.org/abs/2102.06457

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