Results 101 to 110 of about 2,776 (226)
Super-isolated abelian varieties [PDF]
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 $X^{[3]}$
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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GEOMETRICALLY SIMPLE QUASI-ABELIAN VARIETIES [PDF]
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
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Abelian varieties associated to Clifford algebras [PDF]
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
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The weak scale from weak gravity
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
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Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order
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
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Models of an abelian variety with complex multiplication over small fields [PDF]
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
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Arguesian Identities in the Congruence Variety of Abelian Groups [PDF]
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
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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
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Varieties of abelian topological groups with coproducts [PDF]
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
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