ar X iv : m at h / 02 09 26 4 v 1 [ m at h . A G ] 2 0 Se p 20 02 1 Families of p - divisible groups with constant Newton polygon

ar X iv : h ep - e x / 02 09 04 3 v 1 1 8 Se p 20 02 1 Elementary Hadronic Interactions at the CERN SPS

ar X iv : m at h / 02 04 17 2 v 2 [ m at h . A G ] 1 8 Se p 20 02 ON THE EQUATIONS DEFINING

Based on Nakajima’s Classification Theorem [N] we describe the precise form of the binomial equations which determine toric locally complete intersection (“l.c.i”) singularities.

ar X iv : h ep - p h / 02 09 22 4 v 1 1 9 Se p 20 02 1 Vector form factor of the pion : A model – independent approach ∗

We study a model–independent parameterization of the vector pion form factor that arises from the constraints of analyticity and unitarity. Our description should be suitable up to √ s ≃ 1.2 GeV and allows a model– independent determination of the mass of the ρ(770) resonance. We analyse the experimental data on τ − → π − π 0 ντ and e + e − → π + π − in this framework, and its consequences on t...

ar X iv : h ep - p h / 02 09 33 2 v 1 2 7 Se p 20 02 1 K → ππ Electroweak Penguins in the Chiral Limit

We report on dispersive and finite energy sum rule analyses of the electroweak penguin matrix elements (ππ)2|Q7,8|K 0 in the chiral limit. We accomplish the correct perturbative matching (scale and scheme dependence) at NLO in αs, and we describe two different strategies for numerical evaluation.

ar X iv : m at h / 04 09 02 9 v 1 [ m at h . A G ] 2 S ep 2 00 4 ACM BUNDLES ON GENERAL HYPERSURFACES IN P 5 OF LOW DEGREE

In this paper we show that on a general hypersurface of degree r = 3, 4, 5, 6 in P 5 a rank 2 vector bundle E splits if and only if h 1 E(n) = h 2 E(n) = 0 for all n ∈ Z. Similar results for r = 1, 2 were obtained in [15], [16] and [1].