Results 101 to 110 of about 2,776 (226)

Super-isolated abelian varieties [PDF]

open access: yesJournal of Number Theory, 2020
We call an abelian variety over a finite field $\mathbb{F}_q$ super-isolated if its ($\mathbb{F}_q$-rational) isogeny class contains a single isomorphism class. In this paper, we use the Honda-Tate theorem to characterize super-isolated ordinary simple abelian varieties by certain algebraic integers.
openaire   +3 more sources

THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$

open access: yesForum of Mathematics, Sigma, 2016
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
doaj   +1 more source

GEOMETRICALLY SIMPLE QUASI-ABELIAN VARIETIES [PDF]

open access: yes
We define the geometric simpleness for toroidal groups. We give an example ofquasi-abelian variety which is geometrically simple, but not simple. We show that any quasi-abelian variety is isogenous to a product of geometrically simple quasi-abelian ...
アベ, ユキタカ   +2 more
core   +1 more source

Abelian varieties associated to Clifford algebras [PDF]

open access: yes, 2016
The Kuga-Satake construction is a construction in algebraic geometry which associates an abelian variety to a polarized K3-surface X. This abelian variety, A, is created from the Clifford algebra arising from the quadratic space H^2(X,Z)/torsion with its
Machen, Casey
core   +2 more sources

The weak scale from weak gravity

open access: yesJournal of High Energy Physics, 2019
We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory.
Nathaniel Craig   +2 more
doaj   +1 more source

Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order

open access: yesPhysical Review X, 2015
We introduce exotic gapless states—“composite Dirac liquids”—that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator.
David F. Mross   +2 more
doaj   +1 more source

Models of an abelian variety with complex multiplication over small fields [PDF]

open access: yes, 1982
A few existence theorems are proved for the models of an abelian variety of CM-type with a given zeta function over a field which does not necessarily contain the reflex ...
Shimura, Goro
core   +1 more source

Arguesian Identities in the Congruence Variety of Abelian Groups [PDF]

open access: yes, 2000
A class of identities in the Grassmann–Cayley algebra was found by M. J. Hawrylycz (1994, “Geometric Identities in Invariant Theory,” Ph.D. thesis, Massachusetts Institute of Technology) which yields a large number of geometric theorems on the incidence ...
Yan, Catherine Huafei
core   +1 more source

Abelian Subvarieties [PDF]

open access: yes, 1996
LetKbe a field and letXbe an abelian variety overK. The group AutXofK-automorphisms ofXacts in a natural way on the set of abelian subvarieties ofXthat are defined overK. In this paper it is proved that the number of orbits is finite. The proof makes use
Yuri G. Zarhin   +5 more
core   +1 more source

Varieties of abelian topological groups with coproducts [PDF]

open access: yes, 2015
Varieties of groups, introduced in the 1930s by Garret Birkhoff and B.H. Neumann, are defined as classes of groups satisfying certain laws or equivalently as classes of groups closed under the formation of subgroups, quotient groups, and arbitrary ...
Gabriyelyan, Saak   +2 more
core   +1 more source

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