The Aluffi-Chen-Marcolli Real-Rootedness Conjecture
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Statement
Aluffi, Chen and Marcolli conjectured that the Poincare polynomial of the Deligne-Mumford moduli space of stable -pointed rational curves has only real roots. True, with simple roots and strict interlacing between consecutive .
Context
A named conjecture about the topology of the Deligne-Mumford moduli spaces, objects at the foundation of modern enumerative geometry.
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The paper says the proof was found with the assistance of Co-Mathematician, a frontier agentic LLM-based system for mathematical research described in a separate paper, and its title calls the result an AI-assisted proof.
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