Vortices and Jacobian varieties

Nicholas S.  Manton; Nuno M. Romão

doi:10.1016/j.geomphys.2011.02.017

Vortices and Jacobian varieties

Bidragets oversatte titel: Vortices and Jacobian varieties

Nicholas S. Manton
, Nuno M. Romão

Institut for Matematik - Center for Kvantegeometri af Modulirum

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

13 Citationer (Scopus)

172 Downloads (Pure)

Abstract

We investigate the geometry of the moduli space of N-vortices on line bundles over a closed Riemann surface of genus g > 1, in the little explored situation where 1 = 1, the vortex metric typically degenerates as the dissolving limit is approached, the degeneration occurring precisely on the critical locus of the Abel-Jacobi map at degree N. We describe consequences of this phenomenon from the point of view of multivortex dynamics.

Bidragets oversatte titel	Vortices and Jacobian varieties
Originalsprog	Engelsk
Tidsskrift	Journal of Geometry and Physics
Vol/bind	61
Nummer	6
Sider (fra-til)	1135-1155
Antal sider	21
ISSN	0393-0440
DOI	https://doi.org/10.1016/j.geomphys.2011.02.017
Status	Udgivet - 2011

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Citationsformater

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AU - M. Romão, Nuno

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AB - We investigate the geometry of the moduli space of N-vortices on line bundles over a closed Riemann surface of genus g > 1, in the little explored situation where 1 = 1, the vortex metric typically degenerates as the dissolving limit is approached, the degeneration occurring precisely on the critical locus of the Abel-Jacobi map at degree N. We describe consequences of this phenomenon from the point of view of multivortex dynamics.

KW - hep-th

KW - math.AG

U2 - 10.1016/j.geomphys.2011.02.017

DO - 10.1016/j.geomphys.2011.02.017

M3 - Journal article

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