The Brill-Noether curve and Prym-Tyurin varieties

Details The Brill-Noether curve and Prym-Tyurin varieties The Brill-Noether curve and Prym-Tyurin varieties

2012-03-13

arxiv.org/abs/1203.2780v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

We prove that the Jacobian of a general curve C of genus g=2a+1, with g>4,
can be realized as a Prym-Tyurin variety for the Brill-Noether curve
W^1_{a+2}(C). As a consequence of this result we are able to compute the class
of the sum of the secant divisors for the curve C, embedded with a complete
linear series g^{a-1}_{3a-2}

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