In an earlier work the authors described a mechanism for lifting monomial ideals to reduced unions of linear varieties. When the monomial ideal is Cohen-Macaulay (including Artinian), the corresponding union of linear varieties is arithmetically CohenMacaulay. The first main result of this paper is that if the monomial ideal is Artinian then the corresponding union is in the Gorenstein linkage ...

We classify the tangential varieties of Segre–Veronese which are Cohen–Macaulay or Gorenstein.

We settle the negativity conjecture of Vasconcelos for the Chern number of an ideal in certain unmixed quotients of regular local rings by explicit calculation of the Hilbert polynomials of all ideals generated by systems of parameters. Introduction Let I be an m-primary ideal in a local ring (R,m) of dimension d. Let H(I, n) = λ(R/I) denote the Hilbert function of I where λ(M) denotes the leng...

We propose a general frame to compute efficiently in the invariant algebra k[X1, . . . , Xn] , whereH is a finite subgroup of the general linear groupGLn(k). The classical Noether normalization of this Cohen-Macaulay algebra takes a natural form when expressed with adequate data structures, based on evaluation rather than writing. This allows to compute more efficiently its multiplication tenso...