algebra / Algebraic geometry

Simplicity of the Hodge Bundle

Does the Hodge bundle $\Omega_g$ over the moduli stack of genus $g \ge 2$ curves contain any nontrivial sub-bundles? Posed by Dawei Chen around 2015; the answer is no.

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algebraMar 21, 2026Significance 15/100Registry: expert verified

Simplicity of the Hodge Bundle

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Does the Hodge bundle $\Omega_g$ over the moduli stack of genus $g \ge 2$ curves contain any nontrivial sub-bundles? Posed by Dawei Chen around 2015; the answer is no.

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Does the Hodge bundle $\Omega_g$ over the moduli stack of genus $g \ge 2$ curves contain any nontrivial sub-bundles? Posed by Dawei Chen around 2015; the answer is no.

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Simplicity of the Hodge Bundle — Mathematical Frontier Network