1,273 research outputs found
*-transforms of acyclic complexes
Let R be an n-dimensional Cohen-Macaulay local ring and Q a parameter ideal
of R. Suppose that an acyclic complex (F_{\bullet}, \varphi_{\bullet}) of
length n of finitely generated free R-modules is given. We put M = Im
\varphi_{1}, which is an R-submodule of F_{0}. Then F_{\bullet} is an R-free
resolution of F_{0}/M. In this paper, we describe a concrete procedure to get
an acyclic complex of length n that resolves F_{0}/(M : Q).Comment: 13 pages. arXiv admin note: substantial text overlap with
arXiv:1211.073
Some necessary and sufficient condition for finite generation of symbolic Rees rings
Consider the blow-up Y of a weighted projective plane at a point in the open
orbit over a field of characteristic 0. We assume that there exists a curve C
on Y such that C^2<0 and C.E=1, where E is the exceptional curve. In this paper
we give a (very simple) necessary and sufficient condition for finite
generation of the Cox ring of Y (Theorem~1.2). It is an affirmative answer to a
conjecture due to He and Kurano-Nishida.Comment: A footnote is added in Section
Potential of strategic information systems for Japanese construction firms
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Civil Engineering, 1992.Includes bibliographical references (leaves 115-118).by Hisashi Inagawa.M.S
A Change of Computed Tomographic Findings of Two Cases of Giant Internal Carotid Artery Aneurysms after Cervical Carotid Artery Occlusion
The effects of cervical carotid artery occlusion on two giant internal carotid artery aneurysms were studied by computed tomography (CT). In both cases, the density on CT findings of the thrombosed parts in the aneurysms were changed with time from hyperdensity in the immediate post operative period to isodensity and finally to decreased density. For giant aneurysms treated with occlusion of the proximal artery, CT scanning is a reliable and atraumatic method for follow-up review, providing precise information concerning actual size, thrombosis, and pathological changes
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