39,313 research outputs found
On admissible tensor products in -adic Hodge theory
We prove that if and are two -pairs whose tensor product is
crystalline (or semi-stable or de Rham or Hodge-Tate), then there exists a
character such that and are crystalline (or
semi-stable or de Rham or Hodge-Tate). We also prove that if is a -pair
and is a Schur functor (for example \Sym^n(-) or ) such
that is crystalline (or semi-stable or de Rham or Hodge-Tate) and if the
rank of is sufficiently large, then there is a character such that
is crystalline (or semi-stable or de Rham or Hodge-Tate). In
particular, these results apply to -adic representations
Might Carbon-Atmosphere White Dwarfs Harbour a New Type of Pulsating Star?
In the light of the recent and unexpected discovery of a brand new type of
white dwarfs, those with carbon-dominated atmospheres, we examine the
asteroseismological potential of such stars. The motivation behind this is
based on the observation that past models of carbon-atmosphere white dwarfs
have partially ionized outer layers that bear strong resemblance with those
responsible for mode excitation in models of pulsating DB (helium-atmosphere)
and pulsating DA (hydrogen-atmosphere) white dwarfs. Our exciting main result
is that, given the right location in parameter space, some carbon-atmosphere
white dwarfs are predicted to show pulsational instability against gravity
modes. We are eagerly waiting the results of observational searches for
luminosity variations in these stars.Comment: 4-page letter + 4 figure
Motivation and Performance, Blog 7
Student blog posts from the Great VCU Bike Race Book
Filtered modules corresponding to potentially semi-stable representations
We classify the filtered modules with coefficients corresponding to
two-dimensional potentially semi-stable -adic representations of the
absolute Galois groups of -adic fields under the assumptions that is odd
and the coefficients are large enough.Comment: 19 page
Paraboline variation of -adic families of -modules
We study the -adic variation of triangulations over -adic families of
-modules. In particular, we study certain canonical
sub-filtrations of the pointwise triangulations and show that they extend to
affinoid neighborhoods of crystalline points. This generalizes results of
Kedlaya, Pottharst and Xiao and (independently) Liu in the case where one
expects the entire triangulation to extend. As an application, we study the
ramification of weight parameters over natural -adic families.Comment: 46 pages (larger font than before). Final version. Numerous
improvements to expositions and corrections of minor errors. Definitions in
Section 4 slightly altered following suggestion of referee. Definitions in
Sections 5 and 6 explained in more detail for clarity. Appendix adde
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