28 resultados para algebraic laws


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This book addresses two developments in the conceptualisation of citizenship that arise from the 'war on terror', namely the re-culturalisation of membership in a polity and the re-moralisationof access to rights. Taking an anthropological perspective, it traces the ways in which the trans-nationalisation of the 'war on terror' has affected notions of 'the dangerous other' in different political and social contexts, asking what changes in the ideas of the state and of the nation have been promoted by the emerging culture of security, and how these changes affect practices of citizenship and societal group relations.

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When the First World War began, the international co-operation of legal academics, which had been a characteristic of the late 19th and early 20th century came to a halt. In the context of the atrocities in Belgium as well as Serbia academics on both sides became involved in the propaganda campaigns of the belligerents on both sides. Not many of them were able to divest themselves. The presentation will claim that as a consequence the time between the First World War and the beginning of the Second can be characterized as «Broken Years» not only in regard to war veterans (Gammage 1974), but also in regard to the international academic discourse on issues of war crimes and the laws of war. This shall be substantiated by a look at academic activities in the interwar period within the International Law Association, the Institut de Droit International, the Interparliamentary Union, the Association Internationale de Droit Pénal and the Internationale Kriminalistische Vereinigung.

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In the last decades affine algebraic varieties and Stein manifolds with big (infinite-dimensional) automorphism groups have been intensively studied. Several notions expressing that the automorphisms group is big have been proposed. All of them imply that the manifold in question is an Oka–Forstnerič manifold. This important notion has also recently merged from the intensive studies around the homotopy principle in Complex Analysis. This homotopy principle, which goes back to the 1930s, has had an enormous impact on the development of the area of Several Complex Variables and the number of its applications is constantly growing. In this overview chapter we present three classes of properties: (1) density property, (2) flexibility, and (3) Oka–Forstnerič. For each class we give the relevant definitions, its most significant features and explain the known implications between all these properties. Many difficult mathematical problems could be solved by applying the developed theory, we indicate some of the most spectacular ones.

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In this paper we generalize the algebraic density property to not necessarily smooth affine varieties relative to some closed subvariety containing the singular locus. This property implies the remarkable approximation results for holomorphic automorphisms of the Andersén–Lempert theory. We show that an affine toric variety X satisfies this algebraic density property relative to a closed T-invariant subvariety Y if and only if X∖Y≠TX∖Y≠T. For toric surfaces we are able to classify those which possess a strong version of the algebraic density property (relative to the singular locus). The main ingredient in this classification is our proof of an equivariant version of Brunella's famous classification of complete algebraic vector fields in the affine plane.

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