  The quest for the neutrino mass is a central goal in contemporary cosmology,
subject to intense scrutiny, and among different large-scale structure tracers
the Lyman-Alpha forest is re-emerging as a unique tool to probe the neutrino
mass at high-redshift - through characteristic imprints on the transmitted
Lyman-Alpha flux. A detailed modeling of the low-density regions of the
intergalactic medium in presence of massive neutrinos on scale ranging from a
few to hundreds of megaparsecs is required, if one wants to interpret
state-of-the-art data from observations of quasar spectra. To this end, we
provide a suite of hydrodynamical simulations made with Gagdet-3, spanning
different volumes and having a range of resolutions and neutrino masses (from
M_nu=0.1 to 0.8 eV, assuming 3 degenerate species), specifically designed to
meet the requirements of the Baryon Acoustic Spectroscopic Survey (BOSS). We
adopted a particle-type implementation of massive neutrinos, and chose
cosmological parameters compatible with the latest Planck (2013) results. While
the resolution requirements match the quality of the SDSS-III/BOSS data, our
numerical simulations will also establish a useful theoretical ground for
upcoming surveys such as SDSS-IV/eBOSS and DESI. In the very near future, data
from leading spectroscopic surveys will allow measuring the absolute mass scale
of neutrinos, and determining the exact nature of the neutrino mass hierarchy;
hence, we expect that this modeling will become increasingly useful.
