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20022015
most citedExponential localization of Wannier functions in insulators

421 citations

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13 papers · 1 filter

math.RT2002★ 1 cited

Modules simples en caracteristique p des algebres de Hecke affines de type A_2

Rachel Ollivier

Soit F un corps local non archimedien de caracteristique residuelle p. On designe par R un corps algebriquement clos de caracteristique p et par Q une cloture algebrique du corps d…

math.CV2002

Abelian functional equations, planar web geometry and polylogarithms

Luc Pirio

In this paper, we study local solutions F=(F1,..,Fn) of a general functional equation of the form F1(U1(x,y))+....+Fn(Un(x,y))=0. A such equation will be called an ``abelian functi…

math.AC2002

The height of the mixed sparse resultant

Martin Sombra

We present an upper bound for the height of the mixed sparse resultant, defined as the logarithm of the maximum modulus of its coefficients. We obtain a similar estimate for its Ma…

math.OA2002★ 62 cited

Double crossed products of locally compact quantum groups

Saad Baaj, Stefaan Vaes

For a matched pair of locally compact quantum groups, we construct the double crossed product as a locally compact quantum group. This construction generalizes Drinfeld's quantum d…

math.AC2002

Liaison and Castelnuovo-Mumford regularity

Marc Chardin, Bernd Ulrich

In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our…

math.AC2002

Projective schemes: What is Computable in low degree?

Marc Chardin

This article first presents two examples of algorithms that extracts information on scheme out of its defining equations. We also give a review on the notion of Castelnuovo-Mumford…