m-Bigness in compatible systems

Bigness in Compatible Systems

Clozel, Harris and Taylor have recently proved a modularity lifting theorem of the following general form: if ρ is an l-adic representation of the absolute Galois group of a number field for which the residual representation ρ comes from a modular form then so does ρ. This theorem has numerous hypotheses; a crucial one is that the image of ρ must be “big,” a technical condition on subgroups of ...

Movable Intersection and Bigness Criterion

In this note, we give a Morse-type bigness criterion for the difference of two pseudoeffective (1, 1)-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable (n− 1, n− 1)-classes.

A COMMON FIXED POINT THEOREM FOR SIX WEAKLY COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES

In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.

Compatible Systems and Correspondences

Collectively Incentive Compatible Tax Systems

This paper assumes that individuals possess private information both about their abilities and about their valuation of a public good. Individuals can undertake collective actions on order to manipulate the tax system and the decision on public good provision. Consequently, an implementable scheme of taxation has to be collectively incentive compatible. If preferences are additively separable, ...