Torsion points on theta divisors

Auffarth, Robert; Pirola, Gian; Manni, Riccardo

doi:10.1090/proc/13230

Torsion points on theta divisors
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by Robert Auffarth, Gian Pietro Pirola and Riccardo Salvati Manni

Proc. Amer. Math. Soc. 145 (2017), 89-99

DOI: https://doi.org/10.1090/proc/13230

Published electronically: July 25, 2016

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Abstract:

Using the irreducibility of a natural irreducible representation of the theta group of an ample line bundle on an abelian variety, we derive a bound for the number of $n$-torsion points that lie on a given theta divisor. We present also two alternate approaches to attacking the case $n=2$.

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