Rigidity of differentiable structure for new class of line arrangements

摘要

An arrangement of hyperplanes is a finite collection of C-linear subspaces of codimension one in a complex vector space C-l. For such an arrangement A, there is a natural projective arrangement A* of hyperplanes in CPl-1 associated to it. Let M(A) = C-l-boolean OR(H is an element of A) H and M(A*) = CPl-1 - boolean OR H-H is an element of A**.