Results 21 to 30 of about 2,108,594 (166)

Large U(1) charges in F-theory

Journal of High Energy Physics, 2018
We show that massless fields with large abelian charges (up to at least q = 21) can be constructed in 6D F-theory models with a U(1) gauge group. To show this, we explicitly construct F-theory Weierstrass models with nonabelian gauge groups that can be ...
Nikhil Raghuram, Washington Taylor
doaj   +1 more source

Rationally connected rational double covers of primitive Fano varieties [PDF]

Épijournal de Géométrie Algébrique, 2020
We show that for a Zariski general hypersurface $V$ of degree $M+1$ in ${\mathbb P}^{M+1}$ for $M\geqslant 5$ there are no Galois rational covers $X\dashrightarrow V$ of degree $d\geqslant 2$ with an abelian Galois group, where $X$ is a rationally ...
Aleksandr V. Pukhlikov
doaj   +1 more source

Pentagonal quasigroups, their translatability and parastrophes

Open Mathematics, 2021
Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
doaj   +1 more source

The moduli space of (111)-polarized abelian surfaces is unirational [PDF]

, 2001
We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4.
Sorin Popescu, Popescu, Sorin, Gross, M. W., Mark Gross   +3 more
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Invariant Brauer group of an abelian variety [PDF]

, 2021
We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the ...
Valloni, Domenico, Zarhin, Yu. G., Zarhin, Yuri, Orr, Martin, Skorobogatov, Alexei N., Zarhin, Yuri G., Orr, Martin; id_orcid, Skorobogatov, Alexei, Valloni, D., Skorobogatov, A. N., Martin Orr, Yuri G. Zarhin, Alexei N. Skorobogatov, Domenico Valloni   +13 more
core   +1 more source

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +2 more sources

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
doaj   +1 more source