73 v 3 2 1 Se p 20 04 SUBSPACE ARRANGEMENTS DEFINED BY PRODUCTS OF LINEAR FORMS
نویسنده
چکیده
We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a com-binatorial construction (blocker duality) which yields such generators in cases with a lot of combinatorial structure, and we present the examples that motivated our work. We give a construction which produces all elements of this type in the vanishing ideal of the arrangement. This leads to an algorithm for deciding if the ideal is generated by products of linear forms. We also consider generic arrangements of points in P 2 and lines in P 3 .
منابع مشابه
Subspace Arrangements Defined by Products of Linear Forms
We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a combinatorial construction (blocker duality) which yields such generators in cases with a lot of combinatorial structure, and we present the examples that motivated our work. We give a construction which produces all...
متن کاملComputing weight 2 modular forms of level p2
For a prime p we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space V of modular forms of weight 2 and level p2. For p ≡ 3 mod 4 we define a special Hecke stable subspace V0 of V which contains the space of modular forms with CM by the ring of integers of Q( √−p) and we describe the calculation of the corresponding Brandt matrices.
متن کاملThe Module of Derivations for an Arrangement of Subspaces
Let V be a linear space of dimension over a field K. By an arrangement we shall mean a finite collection of affine subspaces of V . If all of the subspaces in an arrangement A have codimension k then we say that A is an ( , k)arrangement. If k = 1 and so A is a hyperplane arrangement then we shall say that A is an -arrangement. Let A be an arrangement and S the coordinate ring for V . For each ...
متن کاملLine Arrangements Modeling Curves of High Degree: Equations, Syzygies and Secants
We study curves consisting of unions of projective lines whose intersections are given by graphs. Under suitable hypotheses on the graph, these so-called graph curves can be embedded in projective space as line arrangements. We discuss property Np for these embeddings and are able to produce products of linear forms that generate the ideal in certain cases. We also briefly discuss questions reg...
متن کاملm at h . FA ] 2 6 O ct 1 99 3 ON COMPLEMENTED SUBSPACES OF SUMS AND PRODUCTS OF BANACH SPACES
It is proved that there exist complemented subspaces of countable topo-logical products (locally convex direct sums) of Banach spaces which cannot be represented as topological products (locally convex direct sums) of Banach spaces The problem of description of complemented subspaces of a given locally convex space is one of the general problems of structure theory of locally convex spaces. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005