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math.AG2026
Derived Enhancements of -fixed subschemes
Marc Besson, Shiyixin Liang
For a conical affine symplectic singularity with -action, the fixed scheme and the map carry much information about…
math.RT2026
Tangent spaces of spherical Schubert varieties and counterexamples to the reducedness conjecture
Marc Besson, Jiuzu Hong, Huanhuan Yu
Given a simply-connected simple algebraic group , we determine the tangent space of any Finkelberg-Mirković Schubert scheme at the base point of the affine Grassmannian of .…
math.RT2026
Reduction rules for Demazure modules
Marc Besson, Sam Jeralds, Joshua Kiers
For a complex reductive group and a Borel subgroup, we provide a reduction rule for certain weight multiplicities in Demazure modules : given a weight $μ…