We present optical linear spectropolarimetry of the Luminous Blue Vari
able AG Carinae obtained after a recent visual brightness increase. Th
e absence of He II lambda4686 emission, together with the weakening of
the He I spectrum and the appearance of Fe lines in the region around
5300 angstrom, confirm that AG Car has started a new excursion across
the HR diagram. The Halpha line profile exhibits very extended line w
ings that are polarized differently in both amount and position angle
from either the continuum or the line core. The polarization changes a
cross Halpha, together with variable continuum polarization, indicate
the presence of intrinsic polarization. Coexistence of the line-wing p
olarization with extended flux-line wings evidences that both are form
ed by electron scattering in a dense wind. The position angle rotates
across the line profiles, in a way that presently available models sug
gest is due to rotation and expansion of the scattering material. AG C
ar displays very large variations of its linear polarization with time
, DELTAP approximately 1.2%, indicating significant variations in enve
lope opacity. We find that the polarization varies along a preferred p
osition angle of approximately 145-degrees (with a scatter of +/- 10-d
egrees) which we interpret as a symmetry axis of the stellar wind (wit
h an ambiguity of 90-degrees). This position angle is co-aligned with
the major axis of the AG Car ring nebula and perpendicular to the AG C
ar jet. Our observations thus suggest that the axisymmetric geometry s
een in the resolved circumstellar environment at various distances alr
eady exists within a few stellar radii of AG Car. From the Halpha pola
rization profile we deduce an interstellar polarization of Q = 0.31%,
U = - 1.15 % at Halpha. The inferred interstellar polarization implies
that the intrinsic polarization is not always of the same sign. This
indicates either significant temporal changes in the envelope geometry
, or it may arise from effects of multiple scattering in conjunction w
ith density variations.