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On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for g ≥ 5
Abstract
The super Schottky ideal defines the image of the superperiod map, which takes a family of genus g supercurves to its Jacobian. We prove that if g ≥ 5, then d=g is the minimal number such that ISch,gd ⊂ Is−Sch,g, where ISch,g is the Schottky ideal and Is−Sch,g is the super Schottky ideal.
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BibTeX
@misc{shen2026superschottky,
title = {{On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for $g \geq 5$}},
author = {Yuanyuan Shen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16150},
eprint = {2609.16150},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16150},
}
RIS
TY - UNPB
TI - On the Super-Schottky Ideal and Powers of the Classical Schottky Ideal for g ≥ 5
AU - Yuanyuan Shen
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.16150
UR - https://arxiv.org/abs/2609.16150
AB - The super Schottky ideal defines the image of the superperiod map, which takes a family of genus g supercurves to its Jacobian. We prove that if g ≥ 5, then d=g is the minimal number such that I_Sch,g^d ⊂ I_s−Sch,g, where I_Sch,g is the Schottky ideal and I_s−Sch,g is the super Schottky ideal.
ER -