ACM sets of points in multiprojective space
نویسندگان
چکیده
منابع مشابه
Acm Sets of Points in Multiprojective Space
If X is a finite set of points in a multiprojective space P1 × · · · × Pr with r ≥ 2, then X may or may not be arithmetically Cohen-Macaulay (ACM). For sets of points in P × P there are several classifications of the ACM sets of points. In this paper we investigate the natural generalizations of these classifications to an arbitrary multiprojective space. We show that each classification for AC...
متن کاملSeparators of Points in a Multiprojective Space
In this note we develop some of the properties of separators of points in a multiprojective space. In particular, we prove multigraded analogs of results of Geramita, Maroscia, and Roberts relating the Hilbert function of X and X \ {P} via the degree of a separator, and Abrescia, Bazzotti, and Marino relating the degree of a separator to shifts in the minimal multigraded free resolution of the ...
متن کاملSeparators of Fat Points in Multiprojective Spaces
Let Z be a set of fat points in a multiprojective space Pn × · · · × Pn . We introduce definitions for the separator of a fat point and the degree of a fat point in this context, and we study some of their properties. Our definition has been picked so that when we specialize to the cases: (a) Z is a reduced set of points in Pn , (b) Z is a set of fat points in Pn, or (c) Z is a reduced set of p...
متن کاملThe Hilbert Functions of Acm Sets of Points
The Hilbert functions of sets of distinct points in Pn have been characterized. We show that if we restrict to sets of distinct of points in Pn1 ×· · ·×Pnk that are also arithmetically Cohen-Macaulay (ACM for short), then there is a natural generalization of this result. We begin by determining the possible values for the invariants K-dimR/IX and depthR/IX, where R/IX is the coordinate ring ass...
متن کاملSome points on generalized open sets
The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Collectanea mathematica
سال: 2008
ISSN: 0010-0757
DOI: 10.1007/bf03191367