16 research outputs found
On Kato and Kuzumaki's properties for the Milnor of function fields of -adic curves
Let be the function field of a curve over a -adic field . We
prove that, for each and for each hypersurface in
of degree with , the second Milnor
-theory group of is spanned by the images of the norms coming from
finite extensions of over which has a rational point. When the
curve has a point in the maximal unramified extension of , we generalize
this result to hypersurfaces in of degree with .Comment: 34 pages. Final versio
Geometrical and inertial properties of a class of thin shells of a general type
IBM 7094 Fortran program for evaluating surface area, centroids of surface volume or masses, and moments of inertia for thin walled shell
Equivariant -theory
We give a new construction of the equivariant -theory of group actions [\textit{C. Barwick}, "Spectral Mackey functors and equivariant algebraic -theory (I)", Adv. Math. 304, 646-727 (2017; Zbl 1348.18020) and \textit{C. Barwick} et al., "Spectral Mackey functors and equivariant algebraic -theory (II)", Preprint (2015); \url{arXiv:1505.03098}], producing an infinite loop -space for each Waldhausen category with -action, for a finite group . On the category of retractive spaces over a -space , this produces an equivariant lift of Waldhausen's functor , and we show that the -fixed points are the bivariant -theory of the fibration . We then use the framework of spectral Mackey functors to produce a second equivariant refinement whose fixed points have tom Dieck type splittings. We expect this second definition to be suitable for an equivariant generalization of the parametrized -cobordism theorem
The Independent, V. 75, Thursday, February 2, 1950, [Number: 36]
[6] p. Newspaper published in Collegeville, Pa. Weekly. Contains local, county, state and national news, agricultural reading matter, fiction, public sales and advertisements.https://digitalcommons.ursinus.edu/independent/3647/thumbnail.jp