Private Property, Public Use, and Just Compensation: The Economics of Eminent Domain

The eminent domain clause of the U.S. Constitution concerns the limits of the government's right to take private property for public use. The economic literature on this issue has examined (1) the proper scope of this power as embodied by the 'public use' requirement, (2) the appropriate definition, and implications, of 'just compensation,' and (3) the impact of eminent domain on land use incentives of owners whose land is subject to a taking risk. This essay reviews this literature and draws implications for our understanding of eminent domain law.

On the Density and the Volume Density Property

This article gives a short introduction into the notions of density property (DP) and volume density property (VDP). Moreover we develop an effective criterion of verifying whether a given X has VDP. As an application of this method we give a new proof of the basic fact that the product of two Stein manifolds with VDP admits VDP.

The algebraic density property for affine toric varieties

In this paper we generalize the algebraic density property to not necessarily smooth affine varieties relative to some closed subvariety containing the singular locus. This property implies the remarkable approximation results for holomorphic automorphisms of the Andersén–Lempert theory. We show that an affine toric variety X satisfies this algebraic density property relative to a closed T-invariant subvariety Y if and only if X∖Y≠TX∖Y≠T. For toric surfaces we are able to classify those which possess a strong version of the algebraic density property (relative to the singular locus). The main ingredient in this classification is our proof of an equivariant version of Brunella's famous classification of complete algebraic vector fields in the affine plane.