94,176 research outputs found
The Tate Conjecture for a family of surfaces of general type with p_g=q=1 and K^2=3
We prove a big monodromy result for a smooth family of complex algebraic
surfaces of general type, with invariants p_g=q=1 and K^2=3, that has been
introduced by Catanese and Ciliberto. This is accomplished via a careful study
of degenerations. As corollaries, when a surface in this family is defined over
a finitely generated extension of Q, we verify the semisimplicity and Tate
conjectures for the Galois representation on the middle \ell-adic cohomology of
the surface.Comment: 26 pages. Final versio
Will the New U.K. Competition and Markets Authority Make Better Antitrust Decisions?
The United Kingdom has a unique set of institutions charged with enforcing competition law. The twin pillars are the Competition Commission (“CC”) and the Office of Fair Trading (“OFT”). In the coming parliament, legislation will be passed to merge them into a new Competition and Markets Authority (“CMA”), probably with effect from 2014.2 They each have a high reputation and are regularly ranked alongside the DOJ, FTC, and DG Competition as among the best in the world. OK, few would argue that any of these institutions is unimprovable, but it does mean there is much that could be lost if the CMA is less effective than its predecessors. Should we be worried
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