Results 21 to 30 of about 656 (169)

UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC

Forum of Mathematics, Sigma, 2018
We present a heuristic argument based on Honda–Tate theory against many conjectures in ‘unlikely intersections’ over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian ...
ANANTH N. SHANKAR, JACOB TSIMERMAN
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Characterization of abelian varieties [PDF]

Inventiones Mathematicae, 2001
10 pages ...
Chen, J.A., Hacon, C.D.
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Strong amalgamations of lattice ordered groups and modules

International Journal of Mathematics and Mathematical Sciences, 1993
We show that every variety of representable lattice ordered groups fails the strong amalgamation property. The same result holds for the variety of f-modules over an f-ring.
Mona Cherri, Wayne B. Powell
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The Modularity of an Abelian Variety

Axioms
We introduce the concept of the modularity of an abelian variety defined over the rational number field extending the modularity of an elliptic curve. We discuss the modularity of an abelian variety over Q.
Jae-Hyun Yang
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Radiative bound-state formation in unbroken perturbative non-Abelian theories and implications for dark matter

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
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Lifting abelian varieties

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).
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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
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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.
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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
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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
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