most citedOn covering and quasi-unsplit families of rational curves

13 citations

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11 papers

math.DG2005

Rigidity of amalgamated product in negative curvature

Gerard Besson, Gilles Courtois, Sylvain Gallot

Let be the fundamental group of a compact n-dimensional riemannian manifold X of sectional curvature bounded above by -1. We suppose that is a free product of its subgroup…

math.AG2005

Stable spherical varieties and their moduli

Valery Alexeev, Michel Brion

We introduce a notion of stable spherical variety which includes the spherical varieties under a reductive group and their flat equivariant degenerations. Given any projective…

math.SG2005

Moment polytopes for symplectic manifolds with monodromy

San Vu Ngoc

A natural way of generalising Hamiltonian toric manifolds is to permit the presence of generic isolated singularities for the moment map. For a class of such ``almost-toric 4-manif…

math.AG2005★ 13 cited

On covering and quasi-unsplit families of rational curves

L. Bonavero, C. Casagrande, S. Druel

We study extremality properties of covering families of rational curves on projective varieties. Among others, we show that on a normal and Q-factorial projective variety of dimens…

math.AG2005

Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8

Atanas Iliev, Laurent Manivel

Let X be a general complex Fano threefold of genus 8. We prove that the moduli space of rank two semistable sheaves on X with Chern numbers c_1=1, c_2=6 and c_3=0 is isomorphic to…

math-ph2005★ 7 cited

On the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator

Magali Marx

In this paper, I consider one-dimensional periodic Schr{ö}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the e…