Bulletin of the London Mathematical Society, 51 (2019) 489–500
Identifier
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14692120
Identifier
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00246093
Identifier
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10.1112/blms.12244
Identifier
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https://repositorio.uchile.cl/handle/2250/171893
Abstract
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Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four-dimensional family of trisecant lines. We study when these lines intersect the theta divisor of the Jacobian and prove that the Gauss map of the theta divisor is constant on these points of intersection, when defined. We investigate the relation between the Gauss map and multisecant planes of the Kummer variety as well.