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- C. De Concini
- 1995

0 Introduction In this paper we describe, for any given nite family of sub-spaces of a vector space or for linear subspaces in aane or projective space, a smooth model, proper over the given space, in which the complement of these subspaces is unchanged but the family of subspaces is replaced by a divisor with normal crossings. This model can be described… (More)

- C. DE CONCINI
- 2005

Motivated by the counting formulas of integral polytopes as in Brion–Vergne [5], [4] and Szenes–Vergne [23], we start to lie the foundations of a theory for toric arrangements, which may be considered as the periodic version of the theory of hyperplane arrangements.

- Rudolf Tange, Corrado de Concini
- 2005

In [8] de Concini, Kac and Procesi introduced the simply connected quantised universal enveloping algebra U = Uε,P (g) over C at a primitive lth root of unity ε associated to a simple finite-dimensional complex Lie algebra g. The importance of the study of the centre Z of U and its spectrum Maxspec(Z) is pointed out in [7,8]. In this article we consider the… (More)

- C. DE CONCINI
- 2009

0.1. Let X be a linear transformation of a finite-dimensional vector space V. The configuration of flags in V which are fixed by X has rather remarkable properties when X is unipotent. Though this case is especially interesting, the proper generality in which to study such configurations is in the theory of reductive algebraic groups, where their definition… (More)

- C. DE CONCINI
- 2006

In this note we shall consider a finite root system R spanning an euclidean space E of dimension l (for all the facts about root systems which we are going to use in this note we refer to [1]). l is called the rank of R. We shall choose once and for all a set of positive roots R+ and in R+ the set of simple roots ∆ = {α1, . . . , αl}. We shall also denote… (More)

- C. DE CONCINI, M. VERGNE
- 2008

This is the first of a series of papers on partition functions and the index theory of transversally elliptic operators. In this paper we only discuss algebraic and combinatorial issues related to partition functions. The applications to index theory will appear in [4]. Here we introduce a space of functions on a lattice which generalizes the space of… (More)

- Corrado de Concini, Fabio Fagnani
- MCSS
- 1993

We study the quotient of a completion of a symmetric variety G/H under the action of H . We prove that this is isomorphic to the closure of the image of an isotropic torus under the action of the restricted Weyl group. In the case the completion is smooth and toroidal we describe the set of semistable points. 2000 Math. Subj. Class. 14L30, 14L24, 14M17.

- C. DE CONCINI
- 2003

Let F be a field and Gr(i, F ) be the Grassmannian of idimensional linear subspaces of F . A map f : Gr(i, F ) −→ Gr(j, F ) is called nesting if l ⊂ f(l) for every l ∈ Gr(i, F ). Glover, Homer and Stong showed that there are no continuous nesting maps Gr(i, C) −→ Gr(j, C) except for a few obvious ones. We prove a similar result for algebraic nesting maps… (More)

This paper is an expanded version of the talk I gave at the rst ECM held in Paris in July 92. Quantum groups, or better quantized enveloping algebras have been deened around 1985 by Drinfeld and Jimbo, D], J], as neither commutative nor cocommutative Hopf algebras obtained by suitably deforming the deening relations of the enveloping algebra of a semisimple… (More)