Results 51 to 60 of about 656 (169)
Pseudo-abelian varieties [PDF]
Annales scientifiques de l'École normale supérieure, 2013 Chevalley's theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field k to be a smooth connected k-group in which every smooth connected affine normal k-
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The weak scale from weak gravity
Journal of High Energy Physics, 2019 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
Physical Review X, 2015 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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Degenerating abelian varieties via log abelian varieties
This thesis is based on the author's paper [52]. It extends the construction of log Tate curves from [25, §1] to higher dimensions. The approach involves extensive applications of algebraic spaces and higher-dimensional convex geometry to create diverse models for any given split totally degenerate semi-stable abelian variety over a complete discrete ...
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Correspondences to abelian varieties I
Duke Mathematical Journal, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fourier Mukai transforms of line bundles on derived equivalent abelian varieties
Le Matematiche, 2008 We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X.
Martin G. Gulbrandsen
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Lawson homology for abelian varieties [PDF]
Forum Mathematicum, 2013 Abstract In this paper we study the action of the Fourier–Mukai transform on the Lawson homology of abelian varieties and a Beauville-type eigenspace decomposition of Lawson homology with rational coefficients.
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Artin’s conjecture for abelian varieties [PDF]
Kyoto Journal of Mathematics, 2016 The following theorem is proved: let \(A\) be an abelian variety of dimension~\(r\) over \({\mathbb Q}\) and let \((a_1,\dots,a_g)\in A({\mathbb Q})\) be \({\mathbb Q}\)-linearly independent points. (In particular, the \({\mathbb Q}\)-rank of \(A\) is at least~\(g\).) Suppose also that at least one of the \(a_i\) is not divisible by \(2\) in \(A ...
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Magnetic helicity, magnetic monopoles, and Higgs winding
Journal of High Energy PhysicsChanges in magnetic helicity are often discussed across a variety of fields, from condensed matter physics to early universe cosmology. It is frequently stated that the helicity change is given by the integral of the gauge field strength tensor and its ...
Hajime Fukuda +4 more
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Difference equations: From Berry connections to the Coulomb branch
SciPost PhysicsIn recent work, we demonstrated that a spectral variety for the Berry connection of a 2d $\mathcal{N}=(2,2)$ GLSM with Kähler vacuum moduli space $X$ and Abelian flavour symmetry is the support of a sheaf induced by a certain action on the equivariant ...
Andrea E. V. Ferrari, Daniel Zhang
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