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Search Results: 1 - 10 of 15086 matches for " Pierre-Emmanuel Joubert? "
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BOOK REVIEW - Deadly Arsenals: nuclear, biological, and chemical threats
Pierre-Emmanuel Dupont
Caucasian Review of International Affairs , 2008,
Abstract:
Book Review - "The Handbook of International Humanitarian Law " by Dieter Fleck (ed), (Oxford: Oxford University Press, 2008, Pp. Xvii-770. ISBN 978-0-19-923250-5)
Pierre-Emmanuel Dupont
Caucasian Review of International Affairs , 2009,
Abstract: In the Handbook’s Introduction, Dieter Fleck mentions that the first edition, published in German in 1994[1], was built upon the German Armed Forces’s (Bundeswehr) Manual of international humanitarian law (IHL), an account of Germany’s long-standing involvement in the implementation of IHL[2]. Yet the present edition, ‘no longer connected to a single national manual, […] aims at offering a best practice manual to assist scholars and practitioners worldwide’ (p. xiv).Dr. Fleck draws a contrasted picture of the current implementation of IHL around the world. He highlights, among the recent achievements in this field, the fact that ‘the interrelationship between humanitarian law and the protection of human rights in armed conflicts is largely accepted and better understood today than ever before’. He also observes that : ‘A progressive development of international criminal law has led to increased jurisprudence on war crimes and crimes against humanity by national courts, international ad hoc tribunals, and finally to the establishment of the International Criminal Court (ICC)...
Théorèmes d'annulation et lieux de dégénérescence en petit corang
Pierre-Emmanuel Chaput
Mathematics , 2005,
Abstract: After giving an explicit description of all the non vanishing Dolbeault cohomology groups of ample line bundles on grassmannians, I give two series of vanishing theorems for ample vector bundles on a smooth projective variety. They imply a part of a conjecture by Fulton and Lazarsfeld about the connectivity of some degeneracy loci.
Amenable groups and Hadamard spaces with a totally disconnected isometry group
Pierre-Emmanuel Caprace
Mathematics , 2007, DOI: 10.4171/MCH/168
Abstract: Let $X$ be a locally compact Hadamard space and $G$ be a totally disconnected group acting continuously, properly and cocompactly on $X$. We show that a closed subgroup of $G$ is amenable if and only if it is (topologically locally finite)-by-(virtually abelian). We are led to consider a set $\bdfine X$ which is a refinement of the visual boundary $\bd X$. For each $x \in \bdfine X$, the stabilizer $G_x$ is amenable.
Automorphism groups of right-angled buildings: simplicity and local splittings
Pierre-Emmanuel Caprace
Mathematics , 2012, DOI: 10.4064/fm224-1-2
Abstract: We show that the group of type-preserving automorphisms of any irreducible semi-regular thick right-angled building is abstractly simple. When the building is locally finite, this gives a large family of compactly generated (abstractly) simple locally compact groups. Specializing to appropriate cases, we obtain examples of such simple groups that are locally indecomposable, but have locally normal subgroups decomposing non-trivially as direct products.
A uniform bound on the nilpotency degree of certain subalgebras of Kac-Moody algebras
Pierre-Emmanuel Caprace
Mathematics , 2006, DOI: 10.1016/j.jalgebra.2007.04.002
Abstract: Let $\mathfrak{g}$ be a Kac-Moody algebra and $\mathfrak{b}_1, \mathfrak{b}_2$ be Borel subalgebras of opposite signs. The intersection $\mathfrak{b} = \mathfrak{b}_1 \cap \mathfrak{b}_2$ is a finite-dimensional solvable subalgebra of $\mathfrak{g}$. We show that the nilpotency degree of $[\mathfrak{b}, \mathfrak{b}]$ is bounded from above by a constant depending only on $\mathfrak{g}$. This confirms a conjecture of Y. Billig and A. Pianzola \cite{BilligPia95}.
Buildings with isolated subspaces and relatively hyperbolic Coxeter groups
Pierre-Emmanuel Caprace
Mathematics , 2007,
Abstract: Let $(W, S)$ be a Coxeter system. We give necessary and sufficient conditions on the Coxeter diagram of $(W, S)$ for $W$ to be relatively hyperbolic with respect to a collection of finitely generated subgroups. The peripheral subgroups are necessarily parabolic subgroups (in the sense of Coxeter group theory). As an application, we present a criterion for the maximal flats of the Davis complex of $(W,S)$ to be isolated. If this is the case, then the maximal affine sub-buildings of any building of type $(W,S)$ are isolated.
Dual varieties of subvarieties of homogeneous spaces
Pierre-Emmanuel Chaput
Mathematics , 2007,
Abstract: A subvariety of a complex projective space has a well-known dual variety, which is the set of its tangent hyperplanes. The purpose of this paper is to generalise this notion for a subvariety of a quite general partial flag variety. A similar biduality theorem is proved, and the dual varieties of Schubert varieties are described.
Geometry over composition algebras : projective geometry
Pierre-Emmanuel Chaput
Mathematics , 2005,
Abstract: The purpose of this article is to introduce projective geometry over composition algebras : the equivalent of projective spaces and Grassmannians over them are defined. It will follow from this definition that the projective spaces are in correspondance with Jordan algebras and that the points of a projective space correspond to rank one matrices in the Jordan algebra. A second part thus studies properties of rank one matrices. Finally, subvarieties of projective spaces are discussed.
Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls
Pierre-Emmanuel Caprace
Mathematics , 2005, DOI: 10.2140/agt.2006.6.1987
Abstract: Let (W,S) be a Coxeter system of finite rank (ie |S| is finite) and let A be the associated Coxeter (or Davis) complex. We study chains of pairwise parallel walls in A using Tits' bilinear form associated to the standard root system of (W,S). As an application, we prove the strong parallel wall conjecture of G Niblo and L Reeves [J Group Theory 6 (2003) 399--413]. This allows to prove finiteness of the number of conjugacy classes of certain one-ended subgroups of W, which yields in turn the determination of all co-Hopfian Coxeter groups of 2--spherical type.
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