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Vortices and Jacobian varieties

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Vortices and Jacobian varieties. / Manton, Nicholas S.; M. Romão, Nuno.

In: Journal of Geometry and Physics, Vol. 61, No. 6, 2011, p. 1135-1155.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Harvard

Manton, NS & M. Romão, N 2011, 'Vortices and Jacobian varieties', Journal of Geometry and Physics, vol. 61, no. 6, pp. 1135-1155. https://doi.org/10.1016/j.geomphys.2011.02.017

APA

Manton, N. S., & M. Romão, N. (2011). Vortices and Jacobian varieties. Journal of Geometry and Physics, 61(6), 1135-1155. https://doi.org/10.1016/j.geomphys.2011.02.017

CBE

Manton NS, M. Romão N. 2011. Vortices and Jacobian varieties. Journal of Geometry and Physics. 61(6):1135-1155. https://doi.org/10.1016/j.geomphys.2011.02.017

MLA

Manton, Nicholas S. and Nuno M. Romão. "Vortices and Jacobian varieties". Journal of Geometry and Physics. 2011, 61(6). 1135-1155. https://doi.org/10.1016/j.geomphys.2011.02.017

Vancouver

Manton NS, M. Romão N. Vortices and Jacobian varieties. Journal of Geometry and Physics. 2011;61(6):1135-1155. doi: 10.1016/j.geomphys.2011.02.017

Author

Manton, Nicholas S. ; M. Romão, Nuno. / Vortices and Jacobian varieties. In: Journal of Geometry and Physics. 2011 ; Vol. 61, No. 6. pp. 1135-1155.

Bibtex

@article{eafb0ca2daab44e2a4125f795548f854,
title = "Vortices and Jacobian varieties",
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.",
keywords = "hep-th, math.AG",
author = "Manton, {Nicholas S.} and {M. Rom{\~a}o}, Nuno",
note = "36 pages, 2 figures",
year = "2011",
doi = "10.1016/j.geomphys.2011.02.017",
language = "English",
volume = "61",
pages = "1135--1155",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier BV * North-Holland",
number = "6",

}

RIS

TY - JOUR

T1 - Vortices and Jacobian varieties

AU - Manton, Nicholas S.

AU - M. Romão, Nuno

N1 - 36 pages, 2 figures

PY - 2011

Y1 - 2011

N2 - 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.

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

VL - 61

SP - 1135

EP - 1155

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 6

ER -