Results 31 to 40 of about 2,776 (226)
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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Every positive integer is the order of an ordinary abelian variety over F2 [PDF]
, 2021 : We show that for every integer$$m > 0$$m>0, there is an ordinary abelian variety over $${{\mathbb {F}}}_2$$F2that has exactlymrational ...
Kedlaya, Kiran S, Howe, Everett W
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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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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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Flat principal bundles over an abelian variety [PDF]
, 2004 We prove that a principal G-bundle EG over a complex abelian variety A, where G is a complex reductive algebraic group, admits a flat holomorphic connection if and only if EG is isomorphic to all the translations of it by the group structure of ...
Biswas, Indranil
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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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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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The Hodge group of an abelian variety [PDF]
, 1988 Let A A be a simple abelian variety of odd dimension, defined over C {\mathbf {C}} . If the Hodge classes on A A are intersections of divisors, then the semisimple part of ...
V. Kumar Murty
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Splitting of abelian varieties
Advances in Mathematics of Communications, 2014 It is possible that a simple (or absolutely simple) Abelian variety defined over a number field splits modulo every prime of good reduction. This is a new problem that arises in designing crypto systems using Abelian varieties of dimension larger than $1$. We discuss what is behind this phenomenon.
V. Kumar Murty, Ying Zong
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