منابع مشابه
On Complexes of Finite Complete Intersection Dimension
We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex of complexity c, we prove that the thick subcategory it generates contains complexes of all possible complexities at most c. In particular, we show that such a complex is virtually small, answering a question raised by Dwyer, Greenlees and Iyengar.
متن کاملNon-complete Intersection Prime Ideals in Dimension 3
We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sally.
متن کاملIntersection Dimension and Maximum Degree
We show that the intersection dimension of graphs with respect to several hereditary graph classes can be bounded as a function of the maximum degree. As an interesting special case, we show that the circular dimension of a graph with maximum degree ∆ is at most O(∆ log∆ log log∆). We also obtain bounds in terms of treewidth.
متن کاملIntersection theorems under dimension constraints
In [8] we posed a series of extremal (set system) problems under dimension constraints. In the present paper we study one of them: the intersection problem. The geometrical formulation of our problem is as follows. Given integers 0 ≤ t, k ≤ n determine or estimate the maximum number of (0, 1)–vectors in a k–dimensional subspace of the Euclidean n–space Rn, such that the inner product (“intersec...
متن کاملIntersection Dimension of Bipartite Graphs
We introduce a concept of intersection dimension of a graph with respect to a graph class. This generalizes Ferrers dimension, boxicity, and poset dimension, and leads to interesting new problems. We focus in particular on bipartite graph classes defined as intersection graphs of two kinds of geometric objects. We relate well-known graph classes such as interval bigraphs, two-directional orthog...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 1997
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02698901