English

The Simplicity of the Hodge Bundle

Algebraic Geometry 2026-05-26 v3

Abstract

This paper shows that the Hodge bundle over the moduli space of genus g2g \geq 2 curves does not contain any non-trivial sub-bundles. Notably, the mathematical content was generated by Aletheia, a custom AI agent powered by Gemini Deep Think.

Cite

@article{arxiv.2603.19052,
  title  = {The Simplicity of the Hodge Bundle},
  author = {Anand Patel},
  journal= {arXiv preprint arXiv:2603.19052},
  year   = {2026}
}

Comments

The human had dropped the 4 in Lemma 2.7 during re-write -- now it's been fixed. See Human Comment 2.8

R2 v1 2026-07-01T11:28:23.830Z