  We report measurements of the longitudinal double-spin asymmetry, $A_{LL}$,
for inclusive jet and dijet production in polarized proton-proton collisions at
midrapidity and center-of-mass energy $\sqrt{s}$ = 510 GeV, using the high
luminosity data sample collected by the STAR experiment in 2013. These
measurements complement and improve the precision of previous STAR measurements
at the same center-of-mass energy that probe the polarized gluon distribution
function at partonic momentum fraction 0.015 $\lesssim x \lesssim$ 0.25. The
dijet asymmetries are separated into four jet-pair topologies, which provide
further constraints on the $x$ dependence of the polarized gluon distribution
function. These measurements are in agreement with previous STAR measurements
and with predictions from current next-to-leading order global analyses. They
provide more precise data at low dijet invariant mass that will better
constraint the shape of the polarized gluon distribution function of the
proton.
