The authors prove the converse implication of the Deligne-Simpson conjecture, confirming that solutions exist precisely when an associated root system meets a stated combinatorial condition.
Shu, The tame Deligne-Simpson problem, arxiv:2509.11841 [math.RT]
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The Deligne-Simpson Problem
The authors prove the converse implication of the Deligne-Simpson conjecture, confirming that solutions exist precisely when an associated root system meets a stated combinatorial condition.