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تسجيل مستخدم جديدExtending infinitely many times arithmetically Cohen-Macaulay and Gorenstein subvarieties of projective spaces
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تأليف
Edoardo Ballico
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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.
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