  The main focus of this paper is Bott-Borel-Weil (BBW) theory for basic
classical Lie superalgebras. We take a purely algebraic self-contained approach
to the problem. A new element in this study is twisting functors, which we use
in particular to prove that the top of the cohomology groups of BBW theory for
generic weights is described by the recently introduced star action. We also
study the algebra of regular functions, related to BBW theory. Then we
introduce a weaker form of genericness, relative to the Borel subalgebra and
show that the virtual BGG reciprocity of Gruson and Serganova becomes an actual
reciprocity in the relatively generic region. We also obtain a complete
solution of BBW theory for osp(m|2), D(2,1;a), F(4) and G(3) with distinguished
Borel subalgebra. Furthermore, we derive information about the category of
finite dimensional osp(m|2)-modules, such as BGG-type resolutions and Kostant
homology of Kac modules and the structure of projective modules.
