Results 81 to 90 of about 60,716 (200)
The monodromy pairing and discrete logarithm on the Jacobian of finite graphs
Every graph has a canonical finite abelian group attached to it. This group has appeared in the literature under a variety of names including the sandpile group, critical group, Jacobian group, and Picard group.
Shokrieh Farbod
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THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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The weak scale from weak gravity
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
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
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
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]
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]
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
Changes 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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