Results 11 to 20 of about 60,716 (200)
SL $$(2,{\mathbb{C}})$$ ( 2 , C ) non-Abelian gauge fields in a photonic molecule array [PDF]
Nature CommunicationsEngineering the topological properties of the system has been a longstanding subject in physics. Here, we propose a scheme to simulate topological materials with a non-Abelian gauge field in synthetic space-frequency dimensions where the symmetry between
Zhaohui Dong, Xianfeng Chen, Luqi Yuan
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Many phases of generalized 3D instanton crystals
SciPost Physics, 2021 Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal
Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein
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Superspecial rank of supersingular abelian varieties and Jacobians [PDF]
, 2015 An abelian variety defined over an algebraically closed field k of positive characteristic is supersingular if it is isogenous to a product of supersingular elliptic curves and is superspecial if it is isomorphic to a product of supersingular elliptic ...
Achter, Jeff, Pries, Rachel
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Nagoya Mathematical Journal, 1953 In a Bourbaki seminary note, La Théorie des Fonctions Thêta, A. Weil has discussed two fundamental theorems of the general theory of Theta functions. The first, due to H. Poincaré, was proved very skilfully in the note by means of harmonic integrals on a torus and the second, due to Frobenius, was treated by the systematic use of the notion of analytic
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Singularities of divisors of low degree on abelian varieties [PDF]
, 2005 Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety is simple or the degree of the polarization is two.Comment: Minor ...
Debarre, Olivier, Hacon, Christopher
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Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves
Journal of Mathematical Cryptology, 2020 We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n ≥ 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is believed to be ...
Boneh Dan +7 more
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Hodge structures associated to SU(p,1) [PDF]
, 2015 Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge ...
Abdulali S. +5 more
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Degenerating abelian varieties via log abelian varieties [PDF]
Asian Journal of Mathematics, 2018 For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato.
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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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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
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