Results 21 to 30 of about 60,716 (200)
Super-isolated abelian varieties [PDF]
Journal 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.
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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
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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.
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A beginner's guide to non-abelian iPEPS for correlated fermions
SciPost Physics Lecture Notes, 2021 Infinite projected entangled pair states (iPEPS) have emerged as a powerful tool for studying interacting two-dimensional fermionic systems. In this review, we discuss the iPEPS construction and some basic properties of this tensor network (TN) ansatz.
Benedikt Bruognolo, Jheng-Wei Li, Jan von Delft, Andreas Weichselbaum
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On the Chow ring of certain rational cohomology tori [PDF]
, 2016 Let $f: X \rightarrow A$ be an abelian cover from a complex algebraic variety with quotient singularities to an abelian variety. We show that $f^*$ induces an isomorphism between the rational cohomology rings $H^\bullet(A, \mathbb{Q})$ and $H^\bullet(X, \
Jiang, Zhi, Yin, Qizheng
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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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Complete addition laws on abelian varieties [PDF]
, 2012 We prove that under any projective embedding of an abelian variety A of dimension g, a complete system of addition laws has cardinality at least g+1, generalizing of a result of Bosma and Lenstra for the Weierstrass model of an elliptic curve in P^2.
Arene, Christophe +2 more
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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
AxiomsWe 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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