  Jet heating via nuclear collisions may be the main mechanism for gamma-ray
burst (GRB) emission. Besides producing the observed gamma-rays, collisional
heating must generate 10-100 GeV neutrinos, implying a close relation between
the neutrino and gamma-ray luminosities. We exploit this theoretical relation
to make predictions for possible GRB detections by IceCube+DeepCore. To
estimate the expected neutrino signal, we use the largest sample of bursts
observed by BATSE in 1991-2000. A GRB neutrino could have been detected if
IceCube+DeepCore operated at that time. Detection of 10-100 GeV neutrinos would
have significant implications, shedding light on the composition of GRB jets
and their Lorentz factors. This could be an important target in designing
future upgrades of the IceCube+DeepCore observatory.
