Abstract
We generalize to -torsion a result of Kempf’s describing -torsion points lying on a theta divisor. This is accomplished by means of certain semihomogeneous vector bundles introduced and studied by Mukai and Oprea. As an application, we prove a sharp upper bound for the number of -torsion points lying on a theta divisor and show that this is achieved only in the case of products of elliptic curves, settling in the affirmative a conjecture of Auffarth, Pirola and Salvati Manni.
Citation
Giuseppe Pareschi. "Torsion points on theta divisors and semihomogeneous vector bundles." Algebra Number Theory 15 (6) 1581 - 1592, 2021. https://doi.org/10.2140/ant.2021.15.1581
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