571,438 research outputs found
Local constancy for reductions of two-dimensional crystalline representations
We prove the existence of local constancy phenomena for reductions in a
general prime power setting of two-dimensional irreducible crystalline
representations. Up to twist, these representations depend on two parameters: a
trace and a weight . We find an (explicit) local constancy result with
respect to using Fontaine's theory of -modules and its
crystalline refinement due to Berger via Wach modules and their continuity
properties. The local constancy result with respect to (for )
will follow from a local study of Colmez's rigid analytic space parametrizing
trianguline representations. This work extends some results of Berger obtained
in the semi-simple residual case.Comment: Comments are welcome
Are Houses Too Big or In the Wrong Place? Tax Benefits to Housing and Inefficiencies in Location and Consumption
Tax benefits to owner-occupied housing provide incentives to consume housing, offsetting weaker disincentives of the property tax. These benefits also help counter the penalty federal taxes impose on households who work in productive high-wage areas, but reinforce incentives to consume local amenities. We simulate the effects of these benefits in a parameterized model, and determine the consequences of various tax reforms. Reductions in housing tax benefits generally increase efficiency in consumption, but reduce efficiency in location decisions, unless they are accompanied by tax rate reductions. The most efficient policy would eliminate most tax benefits to housing and index taxes to local wage levels
Reduction of Galois Representations of slope 1
We compute the reductions of irreducible crystalline two-dimensional
representations of of slope 1, for primes , and
all weights. We describe the semisimplification of the reductions completely.
In particular, we show that the reduction is often reducible. We also
investigate whether the extension obtained is peu or tr\`es ramifi\'ee, in the
relevant reducible non-semisimple cases. The proof uses the compatibility
between the -adic and mod Local Langlands Correspondences, and involves
a detailed study of the reductions of both the standard and non-standard
lattices in certain -adic Banach spaces.Comment: Refereed version. Some arguments have been simplified in Section
Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles
We investigate the Kaluza-Klein reductions to ten dimensions of the purely
gravitational half-BPS M-theory backgrounds: the M-wave and the Kaluza-Klein
monopole. We determine the moduli space of smooth (supersymmetric) Kaluza-Klein
reductions by classifying the freely-acting spacelike Killing vectors which
preserve some Killing spinor. As a consequence we find a wealth of new
supersymmetric IIA configurations involving composite and/or bound-state
configurations of waves, D0 and D6-branes, Kaluza-Klein monopoles in type IIA
and flux/nullbranes, and some other new configurations. Some new features
raised by the geometry of the Taub-NUT space are discussed, namely the
existence of reductions with no continuous moduli. We also propose an
interpretation of the flux 5-brane in terms of the local description (close to
the branes) of a bound state of D6-branes and ten-dimensional Kaluza-Klein
monopoles.Comment: 36 pages (v2: Reference added, "draft" mode disabled; v3: two
singular reductions discarded, appendix on spin structures added, references
updated
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