We analyze the structure of the algebraic manifolds Y of dimension 3 with H(Y,ΩjY ) = 0 for all j ≥ 0, i > 0 and h 0(Y,OY ) > 1, by showing the deformation invariant of some open surfaces. Secondly, we show when a smooth threefold with nonconstant regular functions satisfies the vanishing Hodge cohomology. As an application, we prove the existence of nonaffine and nonproduct threefolds Y with t...

Emigration leads to finite changes in structure of production and sectors vanish because they cannot pay higher wages. Does emigration of one type of labour hurt the other non-emigrating type in this set up? We demonstrate various scenarios when real income of the emigrating and the non-emigrating type do not move together and in the process generalize some of the existing results in the litera...