  In this VERTICO early science paper we explore in detail how environmental
mechanisms, identified in HI, affect the resolved properties of molecular gas
reservoirs in cluster galaxies. The molecular gas is probed using ALMA ACA
(+TP) observations of 12CO(2-1) in 51 spiral galaxies in the Virgo cluster (of
which 49 are detected), all of which are included in the VIVA HI survey. The
sample spans a stellar mass range of 9 < log M*/Msol < 11. We study molecular
gas radial profiles, isodensity radii, and surface densities as a function of
galaxy HI deficiency and morphology. There is a weak correlation between global
HI and H2 deficiencies, and resolved properties of molecular gas correlate with
HI deficiency: galaxies that have large HI deficiencies have relatively steep
and truncated molecular gas radial profiles, which is due to the removal of
low-surface density molecular gas on the outskirts. Therefore, while the
environmental mechanisms observed in HI also affect molecular gas reservoirs,
there is only a moderate reduction of the total amount of molecular gas.
