… In this note we continue our study of arithmetically Cohen-Macaulay (CM for short) schemes
(cf. [… We claim that Vd is arithmetically Gorenstein, ie, it is a CM scheme with the highest Betti …

… is that any Schubert variety X is Cohen-Macaulay, in fact has … line bundle on G/Q it is
arithmetically Cohen-Macaulay. … This fact trivially implies that (in any characteristic) the scheme …

… fat points is arithmetically Cohen-Macaulay from either … arithmetically Cohen-Macaulay.
While the results of Chapter 6 imply that these schemes are rarely arithmetically Cohen-Macaulay…

… CM schemes. In particular we study some CM schemes considered in IT, Sect. 3]; there
we have found the equations of some open subsets of the corresponding Hilbert schemes. …

… arithmetically Cohen-Macauly (CM for short) schemes (cf. [ 111 and [ 12, I]). We describe the
Hilbert function of an arbitrary CM scheme … d-dimensional CM schemes of degree e mvd = (“-…

… on arithmetic Macaulayfications of projective schemes. We give a surprising complete answer
to a question poised by Cutkosky and Herzog. Let Y be the blow-up of a projective scheme …

… Cohen-Macaulay curves in P", ie, equidimensional curves without embedded points. More
precisely, our aim is to compute the maximal arithmetic … The residual scheme Z = Res rX to X …

… The main result of this paper is an effective version of a test for arithmetically Cohen–…
The arithmetically Cohen–Macaulayness of a scheme is related to the length of a minimal …

… that the rest of arithmetically Cohen–Macaulay projective schemes X ⊂ Pn support … schemes
is nowadays well-understood. However, when we abandon the realm of aCM schemes very …

… for equidimensional and locally Cohen-Macaulay schemes in Pn. The main objective of this
work is bounding Castelnuovo's regularity and the genus of such schemes. For getting these …