… a projective (locally) CohenMacaulay curve to a fixed projective … interpolate between the
Hilbert scheme and the Kontsevich … Finally, we require all fibers to be Cohen-Macaulay schemes…

… (i) We say that V → S is arithmetically Cohen–Macaulay, aCM for short, if it has no … can
be checked in practice, and even by computer algebra programs such as Macaulay 2. …

… 4 where Y × Y is arithmetically Cohen-Macaulay while X × X is … failure of the arithmetic
Cohen-Macaulay property to ascend … of the fibered product V ×k W in the category of k-schemes. …

… The first is the existence of a bound for the number of generators of any Cohen-Macaulay
ideal I, ie any ideal I such that R∕ I is Cohen-Macaulay, in terms of e (R∕ I), e (R) and height I. …

… We prove that the tower schemes are arithmetically Cohen–Macaulay and we compute their
… arithmetically Cohen–Macaulay squarefree monomial ideal is the ideal of a tower scheme, …

… We prove that all these GT-varieties are arithmetically Cohen–Macaulay and we give a
combinatorial expression of their Hilbert functions. In the case \(n=2\), we compute explicitly the …

… We already mentioned in Remark 1.4 that every closed subscheme of a quasi-Cohen–Macaulay
scheme is universally catenary. This implies, in particular, that every complete, …

… In this article, we prove the conjecture for rank 3 arithmetically Cohen–Macaulay bundles. …
F k is a coherent O X k -module where X k is the thickened hypersurface defined scheme …

… a circle of ideas and study arithmetically Cohen–Macaulay (ACM) stable vector bundles on
… A vector bundle F on Y is called arithmetically Cohen–Macaulay if dimHi(Y,F(jH)) = 0 for all i …

… genus of such schemes. For getting … ) schemes (see also [14]). Therefore an aim of this
paper ia also to extend to (k,l)-Buchsbaum schemes some of the results known for arithmetically …