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...

A new approach for vanishing point detection is described. This method is based on the theorem of Thales. The main contribution of this paper is the automatic and simultaneous detection of all vanishing points of the image that consists in detecting circles in a complex cloud of points. This extraction is performed without any prior knowledge of the internal calibration. An analysis of the erro...

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...

We incorporate structural modelers into the economy they model. Using traditional moment matching, treat policy changes as zero probability (or exogenous) “counterfactuals.” Bias occurs since real-world agents understand are positive events guided by modelers. Downward, upward, or sign bias occurs. is illustrated calibrating Leland model to 2017 tax cut. The identifying assumption, constant par...