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arXiv · 1512.09296

Torsion points on theta divisors

Robert Auffarth·Giuseppe Pareschi·Gian Pietro Pirola·Riccardo Salvati Manni
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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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Robert Auffarth, Giuseppe Pareschi, Gian Pietro Pirola, Riccardo Salvati Manni. 2017-06-28. Torsion points on theta divisors. https://arxiv.org/abs/1512.09296

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