Results 111 to 120 of about 2,776 (226)
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
doaj
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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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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Difference equations: From Berry connections to the Coulomb branch
In 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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Mass generation in Yang-Mills theories *
In this talk we review recent progress on our understanding of the nonperturbative phenomenon of mass generation in non-Abelian gauge theories, and the way it manifests itself at the level of the gluon propagator, thus establishing a close contact with a
Papavassiliou J. +3 more
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Abelian variety with Tate-Shafarevich group of non-square order [PDF]
Every abelian variety has an associated Tate-Shafarevich group defined using cohomology. Cassels and Tate proved the existence of a pairing on this group.
Troletti, Daniele
core
Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial
We show that scale-invariant special Kähler geometries whose generic r dim ℂ abelian variety fiber is isomorphic (completely split) or isogenous (completely iso-split) as a complex torus to the product of r one-dimensional complex tori have constant τ ij
Philip C. Argyres +3 more
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Seshadri constants on abelian varieties [PDF]
We show that on a complex abelian variety of dimension two or greater the Seshadri constant of an ample line bundle is at least one. Moreover, the Seshadri constant is equal to one if and only if the polarized abelian variety splits as a product of a ...
Michael Nakamaye
core
Canonical heights for abelian group actions of maximal dynamical rank
Let X be a smooth projective variety of dimension $n\geq 2$ and $G\cong \mathbf {Z}^{n-1}$ a free abelian group of automorphisms of X over $\overline {\mathbf {Q}}$ . Suppose that G is of positive entropy.
Fei Hu, Guolei Zhong
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ON THE QUOTIENT VARIETY OF AN ABELIAN VARIETY [PDF]
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