ar X iv : m at h / 02 05 20 7 v 1 [ m at h . R T ] 1 9 M ay 2 00 2 Can p - adic integrals be computed ?

ar X iv : m at h / 99 10 10 7 v 1 [ m at h . A G ] 2 1 O ct 1 99 9 DEFINABLE SETS , MOTIVES AND P - ADIC INTEGRALS

We associate a canonical virtual motive to definable sets over a field of characteristic zero. We use this construction to to show that very general p-adic integrals are canonically interpolated by motivic ones.

ar X iv : m at h / 05 02 57 3 v 6 [ m at h . A G ] 1 4 M ay 2 00 6 ON DEFORMATIONS OF FLAG

Any (global) deformation of a flag manifold F with b2 = 1 is biholomorphic to F .

ar X iv : a st ro - p h / 05 02 36 3 v 2 1 9 M ay 2 00 5 Microlensing optical depth toward the Galactic Bulge using bright sources from OGLE - II

We present a measurement of the microlensing optical depth toward the Galactic Bulge based on 4 years of OGLE-II survey. We consider only bright sources in the extended Red Clump Giant (RCG) region of the Color-Magnitude

ar X iv : h ep - p h / 04 05 03 9 v 1 5 M ay 2 00 4 η , η ′ → π + π − γ with coupled channels

ar X iv : m at h / 06 05 37 9 v 1 [ m at h . R A ] 1 5 M ay 2 00 6 AN EXTENDED FREUDENTHAL MAGIC SQUARE IN CHARACTERISTIC 3

Date: May 15, 2006. 2000 Mathematics Subject Classification. Primary 17B25.