  We calculate the quark coefficient function Tq(x,xi) that enters the
factorized amplitude for deeply virtual Compton scattering (DVCS) at all order
in a soft and collinear gluon approximation, focusing on the leading double
logarithmic behavior in x +/- xi, where x +/- xi is the light cone momentum
fraction of the incoming/outgoing quarks. We show that the dominant part of the
known one loop result can be understood in an axial gauge as the result of a
semi-eikonal approximation to the box diagram. We then derive an all order
result for the leading contribution of the ladder diagrams and deduce a
resummation formula valid in the vicinity of the boundaries of the regions
defining the energy flows of the incoming/outcoming quarks, i.e. x = +/- xi.
The resummed series results in a simple closed expression.
