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http://dx.doi.org/10.5666/KMJ.2016.56.1.295

Polarized Super Torus  

Kim, Hoil (Department of Mathematics, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.1, 2016 , pp. 295-300 More about this Journal
Abstract
For the complex torus, there is the Riemann condition on the polarization for it to be an abelian variety. We extend this condition on the super torus for super abelian variety.
Keywords
super torus; polarization; theta functions;
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1 M. Aganagic and C. Vafa, Mirror symmetry and supermanifolds, Adv. Theor. Math. Phys., 8(6)(2004), 939-954.   DOI
2 M. Bergvelt and J. Rabin, Super curves, theta Jacobians, and super KP equations, Duke Math. J., 98(1)(1999), 1-57.   DOI
3 D. Borthwick, S. Klimek, A. Lesniewski and M. Rinaldi, Matrix Cartan superdomains, super Toeplitz operators, and quantization, J. Funct. Anal., 127(1995), 456-510.   DOI
4 B. DeWitt, Supermanifolds, Cambridge University Press, Cambridge, 1984.
5 P. Griffth and J. Harris, Principles of algebraic geometry, Wiley-Interscience, New York, 1978.
6 G. Kempf, Complex abelian varieties and theta functions, Springer-Verlag, Berlin, 1991.
7 Y. Manin, Gauge field theory and complex geometry, Springer-Verlag, New York, 1980.
8 D. Mumford, Abelian variety, Oxford University Press, Bombay, 1974.
9 S. Sethi, Supermanifolds, rigid manifolds and mirror symmetry, Nucl. Phys., B430(1994), 31-50.