compact manifold M

holomorphic line bundles: tex2html_wrap88 over M

The set of bundles forma an abelian group = Picard group.

tex2html_wrap89 has transition functions tex2html_wrap90 .

Given vector bundle E, can associate a line bundle tex2html_wrap91 .

E has transition functions tex2html_wrap92 so L=det(E) has tex2html_wrap93 .


source
psfile jl@crush.caltech.edu index
holomorphic_section