A phase-space view of cold-gas properties of Virgo-cluster galaxies:
  multiple quenching processes at work?
  We investigate the cold-gas properties of massive Virgo galaxies ($>10^9$
M$_\odot$) at $<3R_{200}$ ($R_{200}$ is the radius where the mean interior
density is 200 times the critical density) on the projected phase-space diagram
(PSD) with the largest archival dataset to date to understand the environmental
effect on galaxy evolution in the Virgo cluster. We find: lower HI and H$_2$
mass fractions and higher star-formation efficiencies (SFEs) from HI and H$_2$
in the Virgo galaxies than the field galaxies for matched stellar masses; the
Virgo galaxies generally follow the field relationships between the offset from
the main sequence of the star-forming galaxies [$\Delta$(MS)] with gas
fractions and SFEs but slightly offset to lower gas fractions or higher SFEs
than field galaxies at $\Delta({\rm MS})< 0$; lower gas fractions in galaxies
with smaller clustocentric distance and velocity; lower gas fractions in the
galaxies in the W cloud, a substructure of the Virgo cluster. Our results
suggest the cold-gas properties of some Virgo galaxies are affected by their
environment at least at $3 R_{200}$ maybe via strangulation and/or
pre-processes and HI and H$_2$ in some galaxies are removed by ram pressure at
$<1.5 R_{200}$. Our data cannot rule the possibility of the other processes
such as strangulation and galaxy harassment accounting for the gas reduction in
some galaxies at $<1.5 R_{200}$. Future dedicated observations of a
mass-limited complete sample are required for definitive conclusions.
