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arXiv · 2310.17443

On the Smooth Locus in Flat Linear Degenerations of Flag Varieties

Sabino Di Trani
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Abstract

We use some moment graph techniques, recently introduced by Lanini and P\"utz, to provide a combinatorial description of the smooth locus in flat linear degenerations of flag varieties, generalizing a result proved by Cerulli Irelli, Feigin and Reineke for the Feigin degeneration. Moreover, we propose a different combinatorial criterion linking the smoothness at a fixed point to transitive tournaments.

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Sabino Di Trani. 2023-10-26. On the Smooth Locus in Flat Linear Degenerations of Flag Varieties. https://arxiv.org/abs/2310.17443

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