Let f and g be two cuspidal modular forms and let F be a
Coleman family passing through f, defined over an open affinoid subdomain V
of weight space W. Using ideas of Pottharst, under certain
hypotheses on f and g we construct a coherent sheaf over VĂ—W which interpolates the Bloch-Kato Selmer group of the
Rankin-Selberg convolution of two modular forms in the critical range (i.e. the
range where the p-adic L-function Lp​ interpolates critical values of the
global L-function). We show that the support of this sheaf is contained in
the vanishing locus of Lp​.Comment: Final version. To appear in Canadian Jour. Mat