We discuss the optical spectropolarimetry of several core-collapse supernov
ae, SN 1996cb (Type IIB), SN 1997X (Type Ic), and SN 1998S (Type IIn). The
data show polarization evolution of several spectral features at levels fro
m 0.5% to above 4%. The observed line polarization is intrinsic to the supe
rnovae and not of interstellar origin. These data suggest that the distribu
tion of ejected matter is highly aspherical. In the case of the Type IIn SN
1998S, the major-to-minor axis ratio must be larger than 2.5 if the polari
zation is 3% from an oblate spheroidal ejecta seen edge-on. A well-defined
symmetry axis can be deduced from spectropolarimetry for SN 1998S, but the
Type IIB events SN 1993J and SN 1996cb seem to possess much more complicate
d geometries with polarization position angles showing larger irregular var
iations across spectral features; the latter may be associated with large-s
cale clumpiness of the ejecta. The observed degree of polarization of the T
ype Ic SN 1997X is above 4%. The data reveal a trend that the degree of pol
arization increases with decreasing envelope mass and with the depth within
the ejecta. The high axial ratio of the ejecta is difficult to explain in
terms of the conventional neutrino-driven core-collapse models for Type II
explosions. Highly asymmetric explosion mechanisms such as the formation of
bipolar jets during core collapse may be a necessary ingredient for models
of all core-collapse supernovae.