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arXiv · 2512.09731

PrIncipal quiver Grassmannians: conjectures

Stanislav Fedotov·Evgeny Feigin
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Abstract

Let $P$ and $I$ be a projective and an injective representations of a Dynkin quiver. We consider quiver Grassmannians of subrepresentations of dimension $\dim P$ inside representations of dimension $\dim P + \dim I$. Based on extensive computer experiments, we formulate several conjectures about the algebro-geometric properties of these quiver Grassmannians.

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Stanislav Fedotov, Evgeny Feigin. 2025-12-10. PrIncipal quiver Grassmannians: conjectures. https://arxiv.org/abs/2512.09731

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