Results 31 to 40 of about 60,716 (200)
Journal of High Energy Physics, 2018 We compute the cross-sections for the radiative capture of non-relativistic particles into bound states, in unbroken perturbative non-Abelian theories.
Julia Harz, Kalliopi Petraki
doaj +1 more source
Inventiones Mathematicae, 1981 Let (X0,2 o) be a polarized abelian variety over a field of characteristic p, p + 0; let R be a domain of characteristic zero. We say (X 0, 20) lifts to R provided there is a polarized abelian scheme, (X, 2), over R and a k-valued point of Spec R such that the fiber of(X, 2) over this point is (Xo, 20).
openaire +2 more sources
Dieudonné theory via cohomology of classifying stacks
Forum of Mathematics, Sigma, 2021 We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj +1 more source
Reduction of Abelian Varieties [PDF]
, 2000 We study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have semistable reduction. We also study N ron models of abelian varieties with potentially good reduction and torsion points of small order.
Silverberg, A., Zarhin, Yu. G.
openaire +2 more sources
The Brauer-Manin obstruction on Kummer varieties and ranks of twists of abelian varieties
, 2015 Let r > 0 be an integer. We present a sufficient condition for an abelian variety A over a number field k to have infinitely many quadratic twists of rank at least r, in terms of density properties of rational points on the Kummer variety Km(A^r) of the ...
Holmes, David, Pannekoek, René
core +1 more source
Autoduality holds for a degenerating abelian variety
, 2017 We prove that certain degenerate abelian varieties, the compactified Jacobian of a nodal curve and a stable quasiabelian variety, satisfy autoduality. We establish this result by proving a comparison theorem that relates the associated family of Picard ...
Kass, Jesse Leo
core +1 more source
On Abelian and Related Fuzzy Subsets of Groupoids
The Scientific World Journal, 2013 We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of
Seung Joon Shin, Hee Sik Kim, J. Neggers
doaj +1 more source
Search for non-Abelian Majorana braiding statistics in superconductors
SciPost Physics Lecture Notes, 2020 This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the laboratory, but ...
C. W. J. Beenakker
doaj +1 more source
Rational points of the group of components of a Neron model
, 1998 Let A_K be an abelian variety over a discrete valuation field K. Let A be the Neron model of A_K over the ring of integers O_K of K and A_k its special fibre. We study the set of rational points of the group of components \phi_A of A_k. In particular, we
Bosch, Siegfried, Liu, Qing
core +3 more sources
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source