  The properties of the first generation of stars and their supernova (SN)
explosions remains unknown due to the lack of their actual observations.
Recently many transient surveys are conducted and the feasibility of the
detection of supernovae (SNe) of Pop III stars is growing. In this paper we
study the multicolor light curves for a number of metal-free core-collapse SN
models (25-100 M$_{\odot}$) to provide the indicators for finding and
identification of first generation SNe. We use mixing-fallback supernova
explosion models which explain the observed abundance patterns of metal poor
stars. Numerical calculations of the multicolor light curves are performed
using multigroup radiation hydrodynamic code STELLA. The calculated light
curves of metal-free SNe are compared with non-zero metallicity models and
several observed SNe. We have found that the shock breakout characteristics,
the evolution of the photosphere's velocity, the luminosity, the duration and
color evolution of the plateau - all the SN phases are helpful to estimate the
parameters of SN progenitor: the mass, the radius, the explosion energy and the
metallicity. We conclude that the multicolor light curves can be potentially
used to identify first generation SNe in the current (Subaru/HSC) and future
transient surveys (LSST, JWST). They are also suitable for identification of
the low-metallicity SNe in the nearby Universe (PTF, Pan-STARRS, Gaia).
