Refined Humbert invariants and subvarieties of $\Ac_2(\C)$: the rank 3 case
Abstract
Over the complex field, we show that the principally polarised abelian surfaces with a given refined Humbert invariant of rank 3 are all Galois conjugated.
Disclosure
“y confirm our theorem for fundamental discriminants up to d = −199. 1.1. Acknowledgment. Both authors have been partially funded by the ANR-Melodia (ANR-20-CE40- 0013) to carry out the research of the present work. The authors used Gemini large language model for draft arguments in Sec. 4. The authors checked and revised all of this output and take full responsibility for the mathematical content. They also thank Ernst Kani and Harun Kır for their careful proof-readings and suggestions which gr”
PDF page 3
- Classification
- Proof ideas or individual proof-step assistance
- Multiplier
- 8
- Verified
Structural counts
Pages 11 pdf
Theorems 1 source
Lemmas 5 source
Propositions 2 source
Corollaries 0 source
Definitions 1 source
Displayed equations 25 source
Bibliography entries 541 source
Appendix pages 0 estimated
Count notes
- Source counts use the expanded primary TeX file case-rank3-arxiv.tex.
- Appendix pages include the first PDF page with an explicit Appendix heading through the final page.