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math.SG — Symplectic Geometry

DEEP LOCI OF DOUBLE BOTT–SAMELSON VARIETIES

Contributed by Qiyue Tang

We prove that the deep locus of a complex double Bott–Samelson variety associated with a positive braid is its stabilizer locus. Consequently, the deep locus is empty if and only if any two components of the braid closure are unlinked. This resolves Conjecture 4.45 of Castronovo, Gorsky, Simental, and Speyer.

A mix of human-written and AI-generated textHuman understanding: some partsDeep locus

Nov 03, 2026PDF ↗View work →

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DEEP LOCI OF DOUBLE BOTT–SAMELSON VARIETIES

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