ar X iv : 0 70 9 . 04 00 v 1 [ m at h . O C ] 4 S ep 2 00 7 Noether ’ s Theorem on Time Scales ∗

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].

ar X iv : 0 70 9 . 12 62 v 1 [ m at h . A G ] 9 S ep 2 00 7 An O ( 2 , n ) formulation of invariant theory for elliptic

In this paper, we give a new formulation of invariant theory for elliptic Weyl group using the group O(2, n). As an elliptic Weyl group quotient, we define a suitable C∗-bundle. We show that it has a conformal Frobenius structure which we define in this paper. Then its good section could be identified with a Frobenius manifold which we constructed in [13].

ar X iv : 0 70 9 . 05 64 v 1 [ m at h . C O ] 5 S ep 2 00 7 3 - bounded Property in a Triangle - free Distance - regular Graph ∗

Let Γ denote a distance-regular graph with classical parameters (D, b, α, β) and D ≥ 3. Assume the intersection numbers a1 = 0 and a2 6= 0. We show Γ is 3-bounded in the sense of the article [D-bounded distance-regular graphs, European Journal of Combinatorics(1997)18, 211-229].

ar X iv : h ep - e x / 00 10 04 6 v 1 1 8 O ct 2 00 0 EVENT SHAPE STUDIES AT HERA

Recent progress on the study of power corrections applied to event shape variables in deep inelastic ep scattering is discussed.

ar X iv : h ep - t h / 04 10 18 8 v 1 18 O ct 2 00 4 Spacetime quantization induced by axial currents