منابع مشابه
On the Highest Lyubeznik Number of a Local Ring
Let A be a d-dimensional local ring containing a field. We will prove that the highest Lyubeznik number λd,d(A) (defined in [5]) is equal to the number of connected components of the Hochster-Huneke graph (defined in [2]) associated to B, where B = ̂̂ Ash is the completion of the strict Henselization of the completion of A. This was proven by Lyubeznik in characteristic p > 0. Our statement and p...
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This paper presents codes on the highest number a society can count to. In the original study (Divale 1999) these codes were used to test a model that explains the variability in counting systems found in traditional societies. Societies that live in areas of climatic instability in terms of temperature and precipitation extremes tend to have period starvation and famine, which in turn stimulat...
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We are given a stack of pancakes of different sizes and the only allowed operation is to take several pancakes from top and flip them. The unburnt version requires the pancakes to be sorted by their sizes at the end, while in the burnt version they additionally need to be oriented burnt-side down. We present an algorithm with the average number of flips, needed to sort a stack of n burnt pancak...
متن کاملOn Lyubeznik Numbers of Projective Schemes
Let X be an arbitrary projective scheme over a field k. Let A be the local ring at the vertex of the affine cone for some embedding ι : X →֒ P n k . G. Lyubeznik asked (in [15]) whether the integers λi,j(A) (defined in [14]), called the Lyubeznik numbers of A, depend only on X, but not on the embedding. In this paper, we make a big step toward a positive answer to this question by proving that i...
متن کاملLyubeznik Numbers of Monomial Ideals
Let R = k[x1, ..., xn] be the polynomial ring in n independent variables, where k is a field. In this work we will study Bass numbers of local cohomology modules H I (R) supported on a squarefree monomial ideal I ⊆ R. Among them we are mainly interested in Lyubeznik numbers. We build a dictionary between the modules H I (R) and the minimal free resolution of the Alexander dual ideal I∨ that all...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2002
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004101005722