TL;DR
This paper proves that the Hodge bundle over the moduli space of genus g ≥ 2 curves is indecomposable, showing it contains no non-trivial sub-bundles, with results generated by an AI agent.
Contribution
It provides a new proof of the indecomposability of the Hodge bundle using AI-generated mathematical content.
Findings
Hodge bundle over moduli space of genus g ≥ 2 curves has no non-trivial sub-bundles
Mathematical proof was generated by AI
Results confirm the simplicity of the Hodge bundle
Abstract
This paper shows that the Hodge bundle over the moduli space of genus 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Cryptography and Residue Arithmetic · Geometric and Algebraic Topology