ar X iv : m at h / 06 02 27 6 v 1 [ m at h . PR ] 1 3 Fe b 20 06 A Sub - Gaussian Berry - Esseen Theorem For the Hypergeometric Distribution

ar X iv : m at h / 06 02 37 1 v 1 [ m at h . A G ] 1 7 Fe b 20 06 Braid Monodromy of Hypersurface Singularities

ar X iv : h ep - p h / 06 02 06 6 v 1 7 Fe b 20 06 X ( 3872 ) in effective field theory

We consider the implications from the possibility that the recently observed state X(3872) is a meson-antimeson molecule. We write an effective Lagrangian consistent with the heavy-quark and chiral symmetries needed to describe X(3872) and study its properties.

ar X iv : m at h / 06 02 64 7 v 1 [ m at h . A G ] 2 8 Fe b 20 06 HIGHER FANO MANIFOLDS AND RATIONAL SURFACES

Let X be a Fano manifold of pseudo-index ≥ 3 such that c 1 (X) 2 − 2c 2 (X) is nef. Irreducibility of some spaces of rational curves on X (in fact, a weaker hypothesis) implies a general point of X is contained in a rational surface.

ar X iv : a st ro - p h / 06 02 51 3 v 1 2 3 Fe b 20 06 Jet deceleration : the case of PKS 1136 - 135

ar X iv : m at h / 06 02 64 2 v 1 [ m at h . A G ] 2 8 Fe b 20 06 DIVISOR CLASSES AND THE VIRTUAL CANONICAL BUNDLE FOR GENUS 0 MAPS

Some divisor class relations for genus 0 curves are proved and used to compute the Cartier divisor class of the virtual canonical bundle for genus 0 maps to a smooth target. Many results here first appeared in [6] and [5]; our proofs use a completely different method.