7,742 research outputs found
Ideals of powers and powers of ideals: intersecting algebra, geometry, and combinatorics
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes
ON plane rational curves and the splitting of the tangent bundle
Given a rational plane curve, we give new approaches to determining the splitting of the pullback of the cotangent bundle. We give applications to determining the minimal resolution for ideals of fat points in the plane
Author Interview with Brian D. Anderson
Brian D. Anderson was our feature artist of the week, October 19th - 23rd, 2020.https://jagworks.southalabama.edu/vid_presentations/1010/thumbnail.jp
Competition policy. by Brian Ellis
tag=1 data=Competition policy. by Brian Ellis
tag=2 data=Ellis, Brian
tag=3 data=Australian Rationalist,
tag=5 data=46
tag=6 data=Autumn/Winter 1998
tag=7 data=51-56.
tag=8 data=ECONOMIC CONDITIONS
tag=9 data=COMPETITION%CORPORATISATION%NATIONAL COMPETITION POLICY%PRIVATE SECTOR PUBLIC SECTOR EFFECTIVENESS%SERVICE DELIVERY%SOCIAL POLICY%INNOVATION
tag=10 data=Examines the Government's National Competition Policy in relation to encouraging R&D, and the corporisation of public services and utilites. The author is Emeritus Professor of Philosophy at La Trobe UNiversity and Vice-President of the Rationalist Society of Australia. Article Taken from What's New.
tag=13 data=CABExamines the Government's National Competition Policy in relation to encouraging R&D, and the corporisation of public services and utilites. The author is Emeritus Professor of Philosophy at La Trobe UNiversity and Vice-President of the Rationalist Society of Australia. Article Taken from What's New
Art Behind Gaming: Brian D. Anderson
A discussion with author Brian D. Anderson about worldbuilding in fantasy. Part of the Art Behind Gaming Online Con.https://jagworks.southalabama.edu/vid_presentations/1046/thumbnail.jp
Configuration types and cubic surfaces
AbstractThis paper is a sequel to the paper [E. Guardo, B. Harbourne, Resolutions of ideals of six fat points in P2, J. Algebra 318 (2) (2007) 619–640]. We relate the matroid notion of a combinatorial geometry to a generalization which we call a configuration type. Configuration types arise when one classifies the Hilbert functions and graded Betti numbers for fat point subschemes supported at n⩽8 essentially distinct points of the projective plane. Each type gives rise to a surface X obtained by blowing up the points. We classify those types such that n=6 and −KX is nef. The surfaces obtained are precisely the desingularizations of the normal cubic surfaces. By classifying configuration types we recover in all characteristics the classification of normal cubic surfaces, which is well known in characteristic 0 [J.W. Bruce, C.T.C. Wall, On the classification of cubic surfaces, J. London Math. Soc. (2) 19 (2) (1979) 245–256]. As an application of our classification of configuration types, we obtain a numerical procedure for determining the Hilbert function and graded Betti numbers for the ideal of any fat point subscheme Z=m1p1+⋯+m6p6 such that the points pi are essentially distinct and −KX is nef, given only the configuration type of the points p1,…,p6 and the coefficients mi
In Honour of Brian MacWhinney: A Personal Account
While this volume and the writings have made it amply clear what significant contributions Professor Brian MacWhinney has made to the field at large, in this afterword, we begin with a senior member of our author team (Ping Li, PL) followed by a mid-career member (Helen Zhao, HZ) and an early career member (Zhe Gao, ZG), to provide our personal accounts of Brian not only as a leading scholar but also as a role model who touches and changes people’s lives
Interview with Brian Alleyne, Sociologist Studying KDE
A few months ago, the British journal Sociology published an article titled "Challenging Code: A Sociological Reading of the KDE Free Software Project". Eager to find out what a 'sociological reading' of KDE entails, Dot editor Oriol Mirosa rushed to contact the article's author, sociologist Brian Alleyne, who graciously and patiently agreed to be the subject of an interview
Understanding Author Rights
Author Rights is the term used to describe a researcher\u27s rights related to their published work. In this session, Brian Young will: 1) provide an overview of author rights, 2) explain language often used in the publication agreement, and 3) demonstrate a tool (Sherpa Romeo) that can be used to quickly understand what default rights you have (and lose) when you publish with a specific journal
Shady trading on the rights market. by Brian Pollard
tag=1 data=Shady trading on the rights market. by Brian Pollard
tag=2 data=Pollard, Brian
tag=3 data=New Doctor,
tag=6 data=Winter 1995
tag=7 data=11-12.
tag=8 data=EUTHANASIA
tag=10 data=Because the spotlight of public attention has been strongly focused on doctors in this debate, the author believes that it is essential that every doctor makes a clear distinction between his or her private views on the practice of euthanasia and its legislation, because the implications in each case are simply not comparable.
tag=11 data=1995/1/5
tag=12 data=95/0224
tag=13 data=CABBecause the spotlight of public attention has been strongly focused on doctors in this debate, the author believes that it is essential that every doctor makes a clear distinction between his or her private views on the practice of euthanasia and its legislation, because the implications in each case are simply not comparable
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