Another look at rational torsion of modular Jacobians.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 36191227.
- Also identified by DOI 10.1073/pnas.2210032119 and PMC identifier 9565053.
- Licence recorded as CC BY-NC-ND.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We study the rational torsion subgroup of the modular Jacobian [Formula: see text] for <i>N</i> a square-free integer. We give a proof of a result of Ohta on a generalization of Ogg's conjecture: For a prime number [Formula: see text], the <i>p</i>-primary part of the rational torsion subgroup equals that of the cuspidal subgroup. Whereas previous proofs of this result used explicit computations of the cardinalities of these groups, we instead use their structure as modules for the Hecke algebra.