ar X iv : 0 90 1 . 38 97 v 1 [ m at h . A C ] 2 5 Ja n 20 09 Unmixed Graphs that are Domains

ar X iv : 0 90 1 . 38 34 v 1 [ m at h . N T ] 2 4 Ja n 20 09 On the Inverse Problem Relative to Dynamics of the w Function

In this paper we shall study the inverse problem relative to dynamics of the w function which is a special arithmetic function and shall get some results.

ar X iv : 0 90 1 . 42 99 v 1 [ m at h . C O ] 2 7 Ja n 20 09 TRIANGLE - FREE TRIANGULATIONS

The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group e Cn acts transitively on these triangulations by colored flips, and that the resulting colored flip graph is closely related to a lower interval in the weak order on e Cn. Lattice properties of this order are then applied to compute the diameter.

ar X iv : 0 90 6 . 32 38 v 1 [ m at h . N T ] 1 7 Ju n 20 09 GEOMETRIC AND p - ADIC MODULAR FORMS OF HALF - INTEGRAL WEIGHT by Nick

ar X iv : 0 90 1 . 18 06 v 1 [ m at h . A G ] 1 3 Ja n 20 09 GREENBERG APPROXIMATION AND THE GEOMETRY OF ARC SPACES

We study the differential properties of generalized arc schemes and geometric versions of Kolchin’s Irreducibility Theorem over arbitrary base fields. As an intermediate step, we prove an approximation result for arcs by algebraic curves.

ar X iv : 0 90 1 . 23 43 v 1 [ m at h . PR ] 1 5 Ja n 20 09 On weak approximation of U - statistics

This paper investigates weak convergence of U -statistics via approximation in probability. The classical condition that the second moment of the kernel of the underlying U -statistic exists is relaxed to having 43 moments only (modulo a logarithmic term). Furthermore, the conditional expectation of the kernel is only assumed to be in the domain of attraction of the normal law (instead of the c...