ar X iv : m at h / 03 05 20 7 v 4 [ m at h . D S ] 6 M ay 2 00 6 Lipschitz Flow - box Theorem

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 : m at h / 06 05 35 5 v 1 [ m at h . G R ] 1 3 M ay 2 00 6 Axes in Outer Space

ar X iv : m at h / 06 05 64 5 v 1 [ m at h . A G ] 2 4 M ay 2 00 6 ON NORI ’ S FUNDAMENTAL GROUP SCHEME

The aim of this note is to give two structure theorems on Nori’s fundamental group scheme of a proper connected variety defined over a perfect field and endowed with a rational point.

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 36 9 v 1 [ m at h . A G ] 1 4 M ay 2 00 6 Vanishing Cycles and Thom ’ s a f Condition ∗

We give a complete description of the relationship between the vanishing cycles of a complex of sheaves along a function f and Thom’s af condition.