Functions on quotient singularities

1987 ◽  
Vol 324 (1576) ◽  
pp. 1-45 ◽  
Keyword(s):  
Invariant Theory ◽  
Quotient Singularity ◽  
Two Dimensional ◽  
Comprehensive Review ◽  
Invariant Functions ◽  
Quotient Singularities ◽  
Free Actions

There are two main results: a determination of the modality of a generic function on any given two-dimensional quotient singularity and a listing of all the zero-modal functions. To achieve this, a comprehensive review of the invariant theory for free actions on C 2 is needed. The problem is put in context by a general discussion of classification of invariant functions, and several different extensions of the main results are indicated.

Successful Dental Implant Placement Surgeries With Buccal Bone Fenestrations

2015 ◽  
Vol 41 (1) ◽  
pp. 112-118 ◽  
Author(s):  
Liviu Steier ◽  
Gabriela Steier
Keyword(s):  
Treatment Outcomes ◽  
Dental Implant ◽  
Bone Plate ◽  
Comprehensive Review ◽  
Preventative Measures ◽  
Implant Placement ◽  
Success Criteria ◽  
Implant Treatment

This is the first comprehensive review of the classification, preventative measures, diagnosis, treatment methods, and determination of success criteria of buccal bone plate fenestrations (BPFs) secondary to posterior implant surgeries. The purpose of this review is to present and discuss the current literature from peer-reviewed journals, recent studies, and international implantology guidelines and to provide practitioners with guiding points to identify and understand whether BPFs are complications or accidents of implant surgeries. In addition, this review sets forth a detailed set of criteria for the evaluation and diagnosis of BPFs and for the subsequent classification of BPFs as either complications or accidents of posterior implant surgeries. From the literature analyzed, it is clear that BPFs are disqualified from the class of implant treatment failures because BPFs neither impair nor significantly delay treatment. A comprehensive outline of preventative measures and surgery aids to avoid fenestrating the buccal bone plate during implant placement, and a variety of repair methods are included in this review. Considerations of treatment outcomes and patient sensitivities are also included in this comprehensive review.

scholarly journals A revised scoring scheme for the classification of socio-economic status in Nigeria

2021 ◽  
Vol 48 (1) ◽  
pp. 26-33
Author(s):  
Michael O. Ibadin ◽  
George O. Akpede
Keyword(s):  
Socioeconomic Status ◽  
Public Service ◽  
Economic Status ◽  
Rater Reliability ◽  
Comprehensive Review ◽  
Socio Economic Status ◽  
The Past ◽  
The University

Background: Researchers in medicine and related fields in Nigeria have usually made recourse to the instrument developed by Olusanya et al and Oyedeji in the past three-and-a half decades for determination of socioeconomic status (SES). Beside the question of their age, however, these instruments were purposive and might no longer be suitable because of the changes in the parameters on which they were based.Objective: To develop a robust but generic scheme that takes into consideration the changes in the nation’s socioeconomic space in the succeeding three and a half decades.Methods: A detailed and comprehensive review of the extant schemes was undertaken with a view to identifying their inherent weaknesses. The latter were then factored into the design of a new scheme taking into consideration the emergent restructuring of career positions in the civil/public service as well as the place of private and informal sectors of the economy. The new scheme was validated at the University of Beninand Irrua Specialist Teaching Hospitals.Results: The new scheme had a remarkably high Inter-rater reliability (r = 0.947, p<0.001), raterre- rater reliability (r = 0.984, p <0.001) and % agreement (with modified Oyedeji’s tool as standard) of 67% (K coefficient = 0.47, r = 0.71, p<0.001)Conclusion/Recommendation: The new scheme could be a viable tool for the assessment of SES of families and individuals, which not only takes into consideration current realities of the nation’s economy, but also is readily adaptable to meet foreseeable changes.

scholarly journals Globular Clusters in the Vilnius Photometric System

1988 ◽  
Vol 126 ◽  
pp. 515-516
Author(s):  
K. Zdanavičius
Keyword(s):  
Globular Clusters ◽  
Photometric System ◽  
Two Dimensional ◽  
Halo Stars ◽  
Dimensional Classification

The Vilnius photometric system was developed for photometric two-dimensional classification of stars and for the determination of interstellar reddening. The system consists of seven magnitudes U, P, X, Y, Z, V and S with mean wavelengths of 345, 375, 405, 466, 516, 544 and 655 nm and half-widths of the order 20 – 30 nm (Straižys 1977). Later on the system was successfully used for the determination of temperatures and the metallicities of halo stars (Bartkevičius and Sperauskas 1983).

scholarly journals THREE-DIMENSIONAL ISOLATED QUOTIENT SINGULARITIES IN EVEN CHARACTERISTIC

2017 ◽  
Vol 60 (2) ◽  
pp. 435-445
Author(s):  
VLADIMIR SHCHIGOLEV ◽  
DMITRY STEPANOV
Keyword(s):  
Finite Group ◽  
Vector Space ◽  
Three Dimensional ◽  
Finite Subgroup ◽  
Two Dimensional ◽  
Dimensional Vector ◽  
Dimensional Vector Space ◽  
Quotient Singularities ◽  
Characteristic 2

AbstractThis paper is a complement to the work of the second author on modular quotient singularities in odd characteristic. Here, we prove that if V is a three-dimensional vector space over a field of characteristic 2 and G < GL(V) is a finite subgroup generated by pseudoreflections and possessing a two-dimensional invariant subspace W such that the restriction of G to W is isomorphic to the group SL2(𝔽2n), then the quotient V/G is non-singular. This, together with earlier known results on modular quotient singularities, implies first that a theorem of Kemper and Malle on irreducible groups generated by pseudoreflections generalizes to reducible groups in dimension three, and, second, that the classification of three-dimensional isolated singularities that are quotients of a vector space by a linear finite group reduces to Vincent's classification of non-modular isolated quotient singularities.

ON SMOOTHNESS OF MINIMAL MODELS OF QUOTIENT SINGULARITIES BY FINITE SUBGROUPS OF SLn(ℂ)

2018 ◽  
Vol 60 (3) ◽  
pp. 603-634
Author(s):  
RYO YAMAGISHI
Keyword(s):  
Minimal Model ◽  
Finite Subgroup ◽  
Quotient Singularity ◽  
Crepant Resolution ◽  
Minimal Models ◽  
Cox Ring ◽  
Quotient Singularities ◽  
Finite Subgroups ◽  
Symplectic Resolutions

AbstractWe prove that a quotient singularity ℂn/G by a finite subgroup G ⊂ SLn(ℂ) has a crepant resolution only if G is generated by junior elements. This is a generalization of the result of Verbitsky (Asian J. Math.4(3) (2000), 553–563). We also give a procedure to compute the Cox ring of a minimal model of a given ℂn/G explicitly from information of G. As an application, we investigate the smoothness of minimal models of some quotient singularities. Together with work of Bellamy and Schedler, this completes the classification of symplectically imprimitive quotient singularities that admit projective symplectic resolutions.

THE ESSENCE, THE NEED FOR EVALUATION AND TYPES OF ECONOMIC POTENTIAL OF ENTERPRISES

2017 ◽  
Author(s):  
Olexandr Yemelyanov ◽  
Keyword(s):  
Economic Activity ◽  
Business Strategies ◽  
Enterprise Management ◽  
Value Assessment ◽  
Economic Potential ◽  
Enterprise Value ◽  
Development Assessment ◽  
State Of The Environment

The formation of business strategies of enterprises should be based on a preliminary assessment of their current and future economic opportunities. Such an assessment is to establish the value of the total economic potential of enterprises and its individual varieties. The purpose of this study was to clarify the essence of the economic potential of enterprises, justify the need for its evaluation and selection of its types. The main approaches to interpreting the terms "potential" and "enterprise potential" are identified. These include resource, result, resource-result, resource-target, and result-target concepts. It is established that the potential of any object, including the enterprise, can be interpreted as a set of its external functional properties, which this object shows or can show in a certain state of the environment in which it is located. Accordingly, the assessment of the potential of an object should be based on the identification and determination of its external properties, taking into account the environment in which the object is located. The main situations in which there is a need for information about certain components of the economic potential of the enterprise are identified, and the types of this potential and the consumers of the information about their level, corresponding to these situations, are determined. In particular, such situations include management of production and sales, management of financial and economic results of the enterprise, management of enterprise development, assessment of the company's need for various types of resources, assessment of enterprise value, assessment of current and future impact of the enterprise on the economy of the country (region), etc. The features of classification of types of enterprise potential existing in the scientific literature are supplemented by the following ones: by the main types of economic activity, by the dynamics of changes in the economic and production system of the enterprise, by consequences for the subject of enterprise potential assessment, by the stages of economic activity, enterprise potential, etc. The obtained results make it possible to improve the understanding of the complex patterns that underlie the formation of the economic potential of enterprises.

State Failure and the Political Violence Phenomenon: A Comparative Analysis of Iraq and Syria Cases

2016 ◽  
Vol 4 (2) ◽  
pp. 170 ◽  
Author(s):  
K. Eylem Özkaya Lassalle
Keyword(s):  
Cold War ◽  
Political Violence ◽  
State Failure ◽  
The Political ◽  
Collective Violence ◽  
Short Run ◽  
Definition Of ◽  
The Cold War

The concept of failed state came to the fore with the end of the Cold War, the collapse of the USSR and the disintegration of Yugoslavia. Political violence is central in these discussions on the definition of the concept or the determination of its dimensions (indicators). Specifically, the level of political violence, the type of political violence and intensity of political violence has been broached in the literature. An effective classification of political violence can lead us to a better understanding of state failure phenomenon. By using Tilly’s classification of collective violence which is based on extent of coordination among violent actors and salience of short-run damage, the role played by political violence in state failure can be understood clearly. In order to do this, two recent cases, Iraq and Syria will be examined.

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