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Extending infinitely many times arithmetically Cohen-Macaulay and Gorenstein subvarieties of projective spaces by Ballico, Edoardo is a scholarly article available to read on EtoBox.

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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.

Author

Ballico, Edoardo

Published

2021

Language

EN